101485476 has 81 divisors (see below), whose sum is σ = 271895169. Its totient is φ = 31914432.

The previous prime is 101485469. The next prime is 101485477. The reversal of 101485476 is 674584101.

It is a happy number.

The square root of 101485476 is 10074.

It is a perfect power (a square), and thus also a powerful number.

101485476 is a `hidden beast` number, since 101 + 4 + 8 + 547 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57608100 + 43877376 = 7590^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101485476.

It is not an unprimeable number, because it can be changed into a prime (101485477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1390176 + ... + 1390248.

Almost surely, 2^101485476 is an apocalyptic number.

101485476 is the 10074-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101485476

101485476 is an abundant number, since it is smaller than the sum of its proper divisors (170409693).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101485476 is a wasteful number, since it uses less digits than its factorization.

101485476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The cubic root of 101485476 is about 466.4459189520.

Multiplying 101485476 by its sum of digits (36), we get a square (3653477136 = 60444²).

101485476 divided by its sum of digits (36) gives a square (2819041 = 1679²).

The spelling of 101485476 in words is "one hundred one million, four hundred eighty-five thousand, four hundred seventy-six".