103926012624 has 480 divisors, whose sum is σ = 360185280000. Its totient is φ = 27327725568.

The previous prime is 103926012611. The next prime is 103926012629. The reversal of 103926012624 is 426210629301.

It is a happy number.

103926012624 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 2 + 601 + 26 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103926012629) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83206752 + ... + 83208000.

It is an arithmetic number, because the mean of its divisors is an integer number (750386000).

Almost surely, 2^103926012624 is an apocalyptic number.

103926012624 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 103926012624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180092640000).

103926012624 is an abundant number, since it is smaller than the sum of its proper divisors (256259267376).

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

103926012624 is a wasteful number, since it uses less digits than its factorization.

103926012624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 103926012624 in words is "one hundred three billion, nine hundred twenty-six million, twelve thousand, six hundred twenty-four".