100952675334 has 192 divisors, whose sum is σ = 265595645952. Its totient is φ = 27102643200.

The previous prime is 100952675321. The next prime is 100952675371. The reversal of 100952675334 is 433576259001.

100952675334 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 52 + 67 + 533 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100952675334.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 36351754 + ... + 36354530.

It is an arithmetic number, because the mean of its divisors is an integer number (1383310656).

Almost surely, 2^100952675334 is an apocalyptic number.

100952675334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100952675334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132797822976).

100952675334 is an abundant number, since it is smaller than the sum of its proper divisors (164642970618).

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

100952675334 is a wasteful number, since it uses less digits than its factorization.

100952675334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 100952675334 in words is "one hundred billion, nine hundred fifty-two million, six hundred seventy-five thousand, three hundred thirty-four".