101404656 has 40 divisors (see below), whose sum is σ = 291070160. Its totient is φ = 33801408.

The previous prime is 101404651. The next prime is 101404687. The reversal of 101404656 is 656404101.

101404656 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 4 + 656 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (101404651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116935 + ... + 117798.

It is an arithmetic number, because the mean of its divisors is an integer number (7276754).

Almost surely, 2^101404656 is an apocalyptic number.

101404656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101404656 is an abundant number, since it is smaller than the sum of its proper divisors (189665504).

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

101404656 is a wasteful number, since it uses less digits than its factorization.

101404656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234750 (or 234738 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 101404656 is about 10069.9878847991. The cubic root of 101404656 is about 466.3220648719.

Adding to 101404656 its reverse (656404101), we get a palindrome (757808757).

The spelling of 101404656 in words is "one hundred one million, four hundred four thousand, six hundred fifty-six".