102875745600 has 336 divisors, whose sum is σ = 383748523840. Its totient is φ = 26795059200.

The previous prime is 102875745589. The next prime is 102875745611. The reversal of 102875745600 is 6547578201.

102875745600 is a `hidden beast` number, since 1 + 0 + 2 + 87 + 5 + 7 + 4 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102875745589) and next prime (102875745611).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1829910 + ... + 1885290.

Almost surely, 2^102875745600 is an apocalyptic number.

102875745600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102875745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191874261920).

102875745600 is an abundant number, since it is smaller than the sum of its proper divisors (280872778240).

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

102875745600 is a wasteful number, since it uses less digits than its factorization.

102875745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55455 (or 55434 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 102875745600 in words is "one hundred two billion, eight hundred seventy-five million, seven hundred forty-five thousand, six hundred".