101466064 has 120 divisors (see below), whose sum is σ = 253430208. Its totient is φ = 39029760.

The previous prime is 101466059. The next prime is 101466077. The reversal of 101466064 is 460664101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306379 + ... + 306709.

Almost surely, 2^101466064 is an apocalyptic number.

101466064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101466064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126715104).

101466064 is an abundant number, since it is smaller than the sum of its proper divisors (151964144).

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

101466064 is a wasteful number, since it uses less digits than its factorization.

101466064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 101466064 is about 10073.0364836031. The cubic root of 101466064 is about 466.4161766811.

The spelling of 101466064 in words is "one hundred one million, four hundred sixty-six thousand, sixty-four".