102626160 has 320 divisors, whose sum is σ = 405307392. Its totient is φ = 20901888.

The previous prime is 102626141. The next prime is 102626171. The reversal of 102626160 is 61626201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102626160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 808017 + ... + 808143.

Almost surely, 2^102626160 is an apocalyptic number.

102626160 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 102626160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202653696).

102626160 is an abundant number, since it is smaller than the sum of its proper divisors (302681232).

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

102626160 is a wasteful number, since it uses less digits than its factorization.

102626160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102626160 is about 10130.4570479322. The cubic root of 102626160 is about 468.1870097826.

The spelling of 102626160 in words is "one hundred two million, six hundred twenty-six thousand, one hundred sixty".