100932968340 has 36 divisors (see below), whose sum is σ = 306163337844. Its totient is φ = 26915458176.

The previous prime is 100932968333. The next prime is 100932968371. The reversal of 100932968340 is 43869239001.

It is a happy number.

100932968340 is a `hidden beast` number, since 10 + 0 + 9 + 3 + 296 + 8 + 340 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79463099664 + 21469868676 = 281892^2 + 146526^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 280369177 + ... + 280369536.

Almost surely, 2^100932968340 is an apocalyptic number.

100932968340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100932968340 is an abundant number, since it is smaller than the sum of its proper divisors (205230369504).

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

100932968340 is a wasteful number, since it uses less digits than its factorization.

100932968340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560738728 (or 560738723 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 100932968340 in words is "one hundred billion, nine hundred thirty-two million, nine hundred sixty-eight thousand, three hundred forty".