102987700 has 72 divisors (see below), whose sum is σ = 244906200. Its totient is φ = 37416960.

The previous prime is 102987697. The next prime is 102987719. The reversal of 102987700 is 7789201.

It can be written as a sum of positive squares in 12 ways, for example, as 2547216 + 100440484 = 1596^2 + 10022^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 48256 + ... + 50344.

It is an arithmetic number, because the mean of its divisors is an integer number (3401475).

Almost surely, 2^102987700 is an apocalyptic number.

102987700 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 102987700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122453100).

102987700 is an abundant number, since it is smaller than the sum of its proper divisors (141918500).

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

102987700 is a wasteful number, since it uses less digits than its factorization.

102987700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 34.

The square root of 102987700 is about 10148.2855694940. The cubic root of 102987700 is about 468.7361548503.

The spelling of 102987700 in words is "one hundred two million, nine hundred eighty-seven thousand, seven hundred".