1656106101 has 64 divisors (see below), whose sum is σ = 2799820800. Its totient is φ = 959076288.

The previous prime is 1656106097. The next prime is 1656106117. The reversal of 1656106101 is 1016016561.

1656106101 is a `hidden beast` number, since 1 + 656 + 1 + 0 + 6 + 1 + 0 + 1 = 666.

It is not a de Polignac number, because 1656106101 - 2² = 1656106097 is a prime.

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 (1656106801) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1112980 + ... + 1114466.

It is an arithmetic number, because the mean of its divisors is an integer number (43747200).

Almost surely, 2^1656106101 is an apocalyptic number.

It is an amenable number.

1656106101 is a deficient number, since it is larger than the sum of its proper divisors (1143714699).

1656106101 is a wasteful number, since it uses less digits than its factorization.

1656106101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1689 counting only the distinct ones).

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

The square root of 1656106101 is about 40695.2835227868. The cubic root of 1656106101 is about 1183.1216066519.

The spelling of 1656106101 in words is "one billion, six hundred fifty-six million, one hundred six thousand, one hundred one".