102251580 has 48 divisors (see below), whose sum is σ = 289272480. Its totient is φ = 26984448.

The previous prime is 102251563. The next prime is 102251599. The reversal of 102251580 is 85152201.

It is a super-2 number, since 2×102251580² = 20910771224992800, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 102251580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2965 + ... + 14604.

It is an arithmetic number, because the mean of its divisors is an integer number (6026510).

Almost surely, 2^102251580 is an apocalyptic number.

102251580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102251580 is an abundant number, since it is smaller than the sum of its proper divisors (187020900).

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

102251580 is a wasteful number, since it uses less digits than its factorization.

102251580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17678 (or 17676 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 102251580 is about 10111.9523337484. The cubic root of 102251580 is about 467.6166961582.

It can be divided in two parts, 102251 and 580, that added together give a triangular number (102831 = T₄₅₃).

The spelling of 102251580 in words is "one hundred two million, two hundred fifty-one thousand, five hundred eighty".