100364124416 has 36 divisors (see below), whose sum is σ = 200497237500. Its totient is φ = 50141724672.

The previous prime is 100364124401. The next prime is 100364124451. The reversal of 100364124416 is 614421463001.

It can be written as a sum of positive squares in 2 ways, for example, as 79885369600 + 20478754816 = 282640^2 + 143104^2 .

It is a super-3 number, since 3×100364124416³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 162800 + ... + 476688.

Almost surely, 2^100364124416 is an apocalyptic number.

100364124416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100364124416 is a deficient number, since it is larger than the sum of its proper divisors (100133113084).

100364124416 is an equidigital number, since it uses as much as digits as its factorization.

100364124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315154 (or 315140 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 100364124416 its reverse (614421463001), we get a palindrome (714785587417).

The spelling of 100364124416 in words is "one hundred billion, three hundred sixty-four million, one hundred twenty-four thousand, four hundred sixteen".