102987144 has 96 divisors (see below), whose sum is σ = 316243200. Its totient is φ = 30015360.

The previous prime is 102987119. The next prime is 102987167. The reversal of 102987144 is 441789201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102987099 and 102987108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14889 + ... + 20679.

It is an arithmetic number, because the mean of its divisors is an integer number (3294200).

Almost surely, 2^102987144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102987144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158121600).

102987144 is an abundant number, since it is smaller than the sum of its proper divisors (213256056).

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

102987144 is a wasteful number, since it uses less digits than its factorization.

102987144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 102987144 is about 10148.2581756674. The cubic root of 102987144 is about 468.7353113264.

The spelling of 102987144 in words is "one hundred two million, nine hundred eighty-seven thousand, one hundred forty-four".