100616209344 has 140 divisors (see below), whose sum is σ = 340866368304. Its totient is φ = 28747478016.

The previous prime is 100616209327. The next prime is 100616209361. The reversal of 100616209344 is 443902616001.

100616209344 is a `hidden beast` number, since 1 + 0 + 0 + 616 + 2 + 0 + 9 + 34 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (100616209327) and next prime (100616209361).

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

It is a junction number, because it is equal to n+sod(n) for n = 100616209299 and 100616209308.

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 19 ways as a sum of consecutive naturals, for example, 1350069 + ... + 1422644.

Almost surely, 2^100616209344 is an apocalyptic number.

100616209344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100616209344 is an abundant number, since it is smaller than the sum of its proper divisors (240250158960).

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

100616209344 is an equidigital number, since it uses as much as digits as its factorization.

100616209344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772744 (or 2772725 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 100616209344 in words is "one hundred billion, six hundred sixteen million, two hundred nine thousand, three hundred forty-four".