100552531968 has 672 divisors, whose sum is σ = 356250825216. Its totient is φ = 26704871424.

The previous prime is 100552531967. The next prime is 100552531969. The reversal of 100552531968 is 869135255001.

100552531968 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 52 + 531 + 9 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (100552531967) and next prime (100552531969).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×100552531968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100552531967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510418846 + ... + 510419042.

Almost surely, 2^100552531968 is an apocalyptic number.

100552531968 is a gapful number since it is divisible by the number (18) 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 100552531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178125412608).

100552531968 is an abundant number, since it is smaller than the sum of its proper divisors (255698293248).

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

100552531968 is a wasteful number, since it uses less digits than its factorization.

100552531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

Adding to 100552531968 its reverse (869135255001), we get a palindrome (969687786969).

The spelling of 100552531968 in words is "one hundred billion, five hundred fifty-two million, five hundred thirty-one thousand, nine hundred sixty-eight".