101005000656 has 60 divisors (see below), whose sum is σ = 303530340672. Its totient is φ = 28858570944.

The previous prime is 101005000633. The next prime is 101005000697. The reversal of 101005000656 is 656000500101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21469800 + ... + 21474503.

Almost surely, 2^101005000656 is an apocalyptic number.

101005000656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101005000656 is an abundant number, since it is smaller than the sum of its proper divisors (202525340016).

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

101005000656 is a wasteful number, since it uses less digits than its factorization.

101005000656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42944328 (or 42944315 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 101005000656 its reverse (656000500101), we get a palindrome (757005500757).

The spelling of 101005000656 in words is "one hundred one billion, five million, six hundred fifty-six", and thus it is an aban number.