101656134 has 72 divisors (see below), whose sum is σ = 234294528. Its totient is φ = 33067440.

The previous prime is 101656133. The next prime is 101656153. The reversal of 101656134 is 431656101.

101656134 is a `hidden beast` number, since 1 + 0 + 1 + 656 + 1 + 3 + 4 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101656098 and 101656107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101656133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 800379 + ... + 800505.

Almost surely, 2^101656134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101656134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117147264).

101656134 is an abundant number, since it is smaller than the sum of its proper divisors (132638394).

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

101656134 is an frugal number, since it uses more digits than its factorization.

101656134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 101656134 is about 10082.4666624790. The cubic root of 101656134 is about 466.7072310544.

The spelling of 101656134 in words is "one hundred one million, six hundred fifty-six thousand, one hundred thirty-four".