102951807231289 has 9 divisors (see below), whose sum is σ = 106380288160101. Its totient is φ = 99630476796060.

The previous prime is 102951807231281. The next prime is 102951807231401. The reversal of 102951807231289 is 982132708159201.

The square root of 102951807231289 is 10146517.

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

It is not a de Polignac number, because 102951807231289 - 2³ = 102951807231281 is a prime.

It is a super-2 number, since 2×102951807231289² (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 (102951807231281) 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, 314378374 + ... + 314705680.

It is an arithmetic number, because the mean of its divisors is an integer number (11820032017789).

Almost surely, 2^{102951807231289} is an apocalyptic number.

102951807231289 is the 10146517-th square number.

102951807231289 is the 5073259-th centered octagonal number.

It is an amenable number.

102951807231289 is a deficient number, since it is larger than the sum of its proper divisors (3428480928812).

102951807231289 is an frugal number, since it uses more digits than its factorization.

102951807231289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654676 (or 327338 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 102951807231289 in words is "one hundred two trillion, nine hundred fifty-one billion, eight hundred seven million, two hundred thirty-one thousand, two hundred eighty-nine".