101193764 has 24 divisors (see below), whose sum is σ = 203269248. Its totient is φ = 43179840.

The previous prime is 101193739. The next prime is 101193769. The reversal of 101193764 is 467391101.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 101193764.

It is not an unprimeable number, because it can be changed into a prime (101193769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1232 + ... + 14279.

It is an arithmetic number, because the mean of its divisors is an integer number (8469552).

Almost surely, 2^101193764 is an apocalyptic number.

101193764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101193764 is an abundant number, since it is smaller than the sum of its proper divisors (102075484).

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

101193764 is a wasteful number, since it uses less digits than its factorization.

101193764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15755 (or 15753 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 101193764 is about 10059.5111213220. The cubic root of 101193764 is about 465.9985693804.

The spelling of 101193764 in words is "one hundred one million, one hundred ninety-three thousand, seven hundred sixty-four".