102977628 has 48 divisors (see below), whose sum is σ = 261707040. Its totient is φ = 31325184.

The previous prime is 102977617. The next prime is 102977671. The reversal of 102977628 is 826779201.

It is a self number, because there is not a number n which added to its sum of digits gives 102977628.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10176 + ... + 17592.

It is an arithmetic number, because the mean of its divisors is an integer number (5452230).

Almost surely, 2^102977628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102977628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130853520).

102977628 is an abundant number, since it is smaller than the sum of its proper divisors (158729412).

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

102977628 is a wasteful number, since it uses less digits than its factorization.

102977628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7526 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 102977628 is about 10147.7893159052. The cubic root of 102977628 is about 468.7208738525.

The spelling of 102977628 in words is "one hundred two million, nine hundred seventy-seven thousand, six hundred twenty-eight".