101355696 has 120 divisors (see below), whose sum is σ = 316177680. Its totient is φ = 30094848.

The previous prime is 101355677. The next prime is 101355697. The reversal of 101355696 is 696553101.

101355696 is a `hidden beast` number, since 1 + 0 + 13 + 556 + 96 = 666.

It is a super-2 number, since 2×101355696² = 20545954223288832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101355696.

It is not an unprimeable number, because it can be changed into a prime (101355697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53355 + ... + 55221.

It is an arithmetic number, because the mean of its divisors is an integer number (2634814).

Almost surely, 2^101355696 is an apocalyptic number.

101355696 is a gapful number since it is divisible by the number (16) 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 101355696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158088840).

101355696 is an abundant number, since it is smaller than the sum of its proper divisors (214821984).

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

101355696 is a wasteful number, since it uses less digits than its factorization.

101355696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 101355696 is about 10067.5566052543. The cubic root of 101355696 is about 466.2470032175.

The spelling of 101355696 in words is "one hundred one million, three hundred fifty-five thousand, six hundred ninety-six".