102887470190400 has 1008 divisors, whose sum is σ = 395830762352640. Its totient is φ = 23328423014400.

The previous prime is 102887470190377. The next prime is 102887470190419. The reversal of 102887470190400 is 4091074788201.

It is a super-2 number, since 2×102887470190400² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17025889779 + ... + 17025895821.

Almost surely, 2^{102887470190400} is an apocalyptic number.

102887470190400 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 102887470190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197915381176320).

102887470190400 is an abundant number, since it is smaller than the sum of its proper divisors (292943292162240).

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

102887470190400 is a wasteful number, since it uses less digits than its factorization.

102887470190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652 (or 6630 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 102887470190400 in words is "one hundred two trillion, eight hundred eighty-seven billion, four hundred seventy million, one hundred ninety thousand, four hundred".