102753980 has 36 divisors (see below), whose sum is σ = 251015688. Its totient is φ = 35229600.

The previous prime is 102753979. The next prime is 102753991. The reversal of 102753980 is 89357201.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 102753980.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51446 + ... + 53405.

It is an arithmetic number, because the mean of its divisors is an integer number (6972658).

Almost surely, 2^102753980 is an apocalyptic number.

102753980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102753980 is an abundant number, since it is smaller than the sum of its proper divisors (148261708).

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

102753980 is a wasteful number, since it uses less digits than its factorization.

102753980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104874 (or 104865 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 102753980 is about 10136.7637833778. The cubic root of 102753980 is about 468.3813034397.

The spelling of 102753980 in words is "one hundred two million, seven hundred fifty-three thousand, nine hundred eighty".