103656953764 has 243 divisors, whose sum is σ = 240590503881. Its totient is φ = 38944039680.

The previous prime is 103656953753. The next prime is 103656953779. The reversal of 103656953764 is 467359656301.

The square root of 103656953764 is 321958.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 100153260900 + 3503692864 = 316470^2 + 59192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1699294294 + ... + 1699294354.

Almost surely, 2^103656953764 is an apocalyptic number.

103656953764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103656953764 is the 321958-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103656953764

103656953764 is an abundant number, since it is smaller than the sum of its proper divisors (136933550117).

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

103656953764 is a wasteful number, since it uses less digits than its factorization.

103656953764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 55.

The spelling of 103656953764 in words is "one hundred three billion, six hundred fifty-six million, nine hundred fifty-three thousand, seven hundred sixty-four".