101934620424 has 480 divisors, whose sum is σ = 366055240320. Its totient is φ = 26254077696.

The previous prime is 101934620377. The next prime is 101934620449. The reversal of 101934620424 is 424026439101.

101934620424 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 3 + 4 + 620 + 4 + 24 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17746497 + ... + 17752239.

It is an arithmetic number, because the mean of its divisors is an integer number (762615084).

Almost surely, 2^101934620424 is an apocalyptic number.

101934620424 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 101934620424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183027620160).

101934620424 is an abundant number, since it is smaller than the sum of its proper divisors (264120619896).

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

101934620424 is a wasteful number, since it uses less digits than its factorization.

101934620424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5831 (or 5811 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 101934620424 in words is "one hundred one billion, nine hundred thirty-four million, six hundred twenty thousand, four hundred twenty-four".