102981120 has 320 divisors, whose sum is σ = 381832704. Its totient is φ = 23429120.

The previous prime is 102981113. The next prime is 102981139. The reversal of 102981120 is 21189201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×102981120² = 21210222152908800, which contains 22 as substring.

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1060 × 92 × 1056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1943014 + ... + 1943066.

Almost surely, 2^102981120 is an apocalyptic number.

102981120 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 102981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190916352).

102981120 is an abundant number, since it is smaller than the sum of its proper divisors (278851584).

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

102981120 is a wasteful number, since it uses less digits than its factorization.

102981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 102981120 is about 10147.9613716253. The cubic root of 102981120 is about 468.7261719443.

The spelling of 102981120 in words is "one hundred two million, nine hundred eighty-one thousand, one hundred twenty".