101264904 has 96 divisors (see below), whose sum is σ = 306371520. Its totient is φ = 31150656.

The previous prime is 101264899. The next prime is 101264909. The reversal of 101264904 is 409462101.

101264904 is a `hidden beast` number, since 1 + 0 + 12 + 649 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (101264899) and next prime (101264909).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101264909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23269 + ... + 27275.

It is an arithmetic number, because the mean of its divisors is an integer number (3191370).

Almost surely, 2^101264904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101264904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153185760).

101264904 is an abundant number, since it is smaller than the sum of its proper divisors (205106616).

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

101264904 is a wasteful number, since it uses less digits than its factorization.

101264904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4041 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 101264904 is about 10063.0464572117. The cubic root of 101264904 is about 466.1077440023.

The spelling of 101264904 in words is "one hundred one million, two hundred sixty-four thousand, nine hundred four".