102087600 has 120 divisors (see below), whose sum is σ = 329307792. Its totient is φ = 27033600.

The previous prime is 102087599. The next prime is 102087607. The reversal of 102087600 is 6780201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102087607) 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, 289024 + ... + 289376.

Almost surely, 2^102087600 is an apocalyptic number.

102087600 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 102087600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164653896).

102087600 is an abundant number, since it is smaller than the sum of its proper divisors (227220192).

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

102087600 is a wasteful number, since it uses less digits than its factorization.

102087600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 102087600 is about 10103.8408538535. The cubic root of 102087600 is about 467.3665914242.

The spelling of 102087600 in words is "one hundred two million, eighty-seven thousand, six hundred".