103779411624 has 576 divisors, whose sum is σ = 378020260800. Its totient is φ = 26430437376.

The previous prime is 103779411587. The next prime is 103779411733. The reversal of 103779411624 is 426114977301.

It is a happy number.

103779411624 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 7 + 9 + 4 + 11 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 103779411624.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30766002 + ... + 30769374.

It is an arithmetic number, because the mean of its divisors is an integer number (656285175).

Almost surely, 2^103779411624 is an apocalyptic number.

103779411624 is a gapful number since it is divisible by the number (14) 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 103779411624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189010130400).

103779411624 is an abundant number, since it is smaller than the sum of its proper divisors (274240849176).

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

103779411624 is a wasteful number, since it uses less digits than its factorization.

103779411624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3421 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 103779411624 in words is "one hundred three billion, seven hundred seventy-nine million, four hundred eleven thousand, six hundred twenty-four".