100580159029156 has 27 divisors (see below), whose sum is σ = 184001692546273. Its totient is φ = 48103333681040.

The previous prime is 100580159029127. The next prime is 100580159029159. The reversal of 100580159029156 is 651920951085001.

The square root of 100580159029156 is 10028966.

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

It can be written as a sum of positive squares in only one way, i.e., 33822761958756 + 66757397070400 = 5815734^2 + 8170520^2 .

It is a super-2 number, since 2×100580159029156² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100580159029159) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 461223426 + ... + 461441446.

Almost surely, 2^{100580159029156} is an apocalyptic number.

100580159029156 is the 10028966-th square number.

It is an amenable number.

100580159029156 is a deficient number, since it is larger than the sum of its proper divisors (83421533517117).

100580159029156 is an frugal number, since it uses more digits than its factorization.

100580159029156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436092 (or 218046 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 52.

The spelling of 100580159029156 in words is "one hundred trillion, five hundred eighty billion, one hundred fifty-nine million, twenty-nine thousand, one hundred fifty-six".