101010905604 has 384 divisors, whose sum is σ = 320044032000. Its totient is φ = 26939920896.

The previous prime is 101010905537. The next prime is 101010905617. The reversal of 101010905604 is 406509010101.

101010905604 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 10 + 90 + 560 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102757297 + ... + 102758279.

It is an arithmetic number, because the mean of its divisors is an integer number (833448000).

Almost surely, 2^101010905604 is an apocalyptic number.

101010905604 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 101010905604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160022016000).

101010905604 is an abundant number, since it is smaller than the sum of its proper divisors (219033126396).

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

101010905604 is a wasteful number, since it uses less digits than its factorization.

101010905604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 101010905604 its reverse (406509010101), we get a palindrome (507519915705).

The spelling of 101010905604 in words is "one hundred one billion, ten million, nine hundred five thousand, six hundred four".