102514200967398 has 32 divisors (see below), whose sum is σ = 235439313229440. Its totient is φ = 29429914152960.

The previous prime is 102514200967397. The next prime is 102514200967411. The reversal of 102514200967398 is 893769002415201.

102514200967398 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102514200967398² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102514200967391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40874879515 + ... + 40874882022.

It is an arithmetic number, because the mean of its divisors is an integer number (7357478538420).

It is a 2-persistent number, because it is pandigital, and so is 2⋅102514200967398 = 205028401934796, but 3⋅102514200967398 = 307542602902194 is not.

Almost surely, 2^{102514200967398} is an apocalyptic number.

102514200967398 is an abundant number, since it is smaller than the sum of its proper divisors (132925112262042).

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

102514200967398 is a wasteful number, since it uses less digits than its factorization.

102514200967398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81749761572.

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 102514200967398 in words is "one hundred two trillion, five hundred fourteen billion, two hundred million, nine hundred sixty-seven thousand, three hundred ninety-eight".