102974414912161 has 9 divisors (see below), whose sum is σ = 111504982663731. Its totient is φ = 95053184301192.

The previous prime is 102974414912141. The next prime is 102974414912203. The reversal of 102974414912161 is 161219414479201.

The square root of 102974414912161 is 10147631.

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., 15232901614225 + 87741513297936 = 3902935^2 + 9367044^2 .

It is not a de Polignac number, because 102974414912161 - 2⁵ = 102974414912129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102974414912099 and 102974414912108.

It is not an unprimeable number, because it can be changed into a prime (102974414912101) 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, 131528910 + ... + 132309496.

Almost surely, 2^{102974414912161} is an apocalyptic number.

102974414912161 is the 10147631-st square number.

102974414912161 is the 5073816-th centered octagonal number.

It is an amenable number.

102974414912161 is a deficient number, since it is larger than the sum of its proper divisors (8530567751570).

102974414912161 is an frugal number, since it uses more digits than its factorization.

102974414912161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561200 (or 780600 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 102974414912161 in words is "one hundred two trillion, nine hundred seventy-four billion, four hundred fourteen million, nine hundred twelve thousand, one hundred sixty-one".