102779880 has 128 divisors (see below), whose sum is σ = 363847680. Its totient is φ = 22728960.

The previous prime is 102779867. The next prime is 102779881. The reversal of 102779880 is 88977201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (102779881) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24067 + ... + 28013.

It is an arithmetic number, because the mean of its divisors is an integer number (2842560).

Almost surely, 2^102779880 is an apocalyptic number.

102779880 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 102779880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181923840).

102779880 is an abundant number, since it is smaller than the sum of its proper divisors (261067800).

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

102779880 is a wasteful number, since it uses less digits than its factorization.

102779880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3995 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 42.

The square root of 102779880 is about 10138.0412309282. The cubic root of 102779880 is about 468.4206532753.

The spelling of 102779880 in words is "one hundred two million, seven hundred seventy-nine thousand, eight hundred eighty".