102598560 has 72 divisors (see below), whose sum is σ = 350122500. Its totient is φ = 27359232.

The previous prime is 102598547. The next prime is 102598567. The reversal of 102598560 is 65895201.

It is a happy number.

102598560 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 98 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98485776 + 4112784 = 9924^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102598567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34185 + ... + 37064.

Almost surely, 2^102598560 is an apocalyptic number.

102598560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102598560 is an abundant number, since it is smaller than the sum of its proper divisors (247523940).

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

102598560 is a wasteful number, since it uses less digits than its factorization.

102598560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71270 (or 71259 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 102598560 is about 10129.0947275657. The cubic root of 102598560 is about 468.1450350397.

The spelling of 102598560 in words is "one hundred two million, five hundred ninety-eight thousand, five hundred sixty".