102598993 has 24 divisors (see below), whose sum is σ = 126503520. Its totient is φ = 82736640.

The previous prime is 102598981. The next prime is 102598997. The reversal of 102598993 is 399895201.

It is not a de Polignac number, because 102598993 - 2²⁵ = 69044561 is a prime.

It is a super-2 number, since 2×102598993² = 21053106729228098, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102598997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179398 + ... + 179968.

It is an arithmetic number, because the mean of its divisors is an integer number (5270980).

Almost surely, 2^102598993 is an apocalyptic number.

It is an amenable number.

102598993 is a deficient number, since it is larger than the sum of its proper divisors (23904527).

102598993 is a wasteful number, since it uses less digits than its factorization.

102598993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 46.

The square root of 102598993 is about 10129.1161016152. The cubic root of 102598993 is about 468.1456936146.

The spelling of 102598993 in words is "one hundred two million, five hundred ninety-eight thousand, nine hundred ninety-three".