101318634 has 96 divisors (see below), whose sum is σ = 245831040. Its totient is φ = 30868992.

The previous prime is 101318627. The next prime is 101318641. The reversal of 101318634 is 436813101.

101318634 is a `hidden beast` number, since 1 + 0 + 13 + 18 + 634 = 666.

It is an interprime number because it is at equal distance from previous prime (101318627) and next prime (101318641).

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

It is a junction number, because it is equal to n+sod(n) for n = 101318598 and 101318607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044474 + ... + 1044570.

It is an arithmetic number, because the mean of its divisors is an integer number (2560740).

Almost surely, 2^101318634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101318634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122915520).

101318634 is an abundant number, since it is smaller than the sum of its proper divisors (144512406).

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

101318634 is a wasteful number, since it uses less digits than its factorization.

101318634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 101318634 is about 10065.7157718664. The cubic root of 101318634 is about 466.1901665727.

The spelling of 101318634 in words is "one hundred one million, three hundred eighteen thousand, six hundred thirty-four".