102887400 has 384 divisors, whose sum is σ = 424258560. Its totient is φ = 19968000.

The previous prime is 102887353. The next prime is 102887423. The reversal of 102887400 is 4788201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 785335 + ... + 785465.

It is an arithmetic number, because the mean of its divisors is an integer number (1104840).

Almost surely, 2^102887400 is an apocalyptic number.

102887400 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 102887400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

102887400 is an abundant number, since it is smaller than the sum of its proper divisors (321371160).

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

102887400 is a wasteful number, since it uses less digits than its factorization.

102887400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 102887400 is about 10143.3426443160. The cubic root of 102887400 is about 468.5839376211.

The spelling of 102887400 in words is "one hundred two million, eight hundred eighty-seven thousand, four hundred".