103624051044672 has 84 divisors (see below), whose sum is σ = 297021755737876. Its totient is φ = 34541103421440.

The previous prime is 103624051044671. The next prime is 103624051044677. The reversal of 103624051044672 is 276440150426301.

103624051044672 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 24 + 0 + 510 + 4 + 46 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19486432950336 + 84137618094336 = 4414344^2 + 9172656^2 .

It is a super-3 number, since 3×103624051044672³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103624051044671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91436118 + ... + 92562474.

Almost surely, 2^{103624051044672} is an apocalyptic number.

103624051044672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103624051044672 is an abundant number, since it is smaller than the sum of its proper divisors (193397704693204).

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

103624051044672 is a wasteful number, since it uses less digits than its factorization.

103624051044672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286096 (or 1286083 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 103624051044672 in words is "one hundred three trillion, six hundred twenty-four billion, fifty-one million, forty-four thousand, six hundred seventy-two".