101934980400 has 240 divisors, whose sum is σ = 356476076928. Its totient is φ = 24693504000.

The previous prime is 101934980359. The next prime is 101934980419. The reversal of 101934980400 is 4089439101.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31295572 + ... + 31298828.

Almost surely, 2^101934980400 is an apocalyptic number.

101934980400 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 101934980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178238038464).

101934980400 is an abundant number, since it is smaller than the sum of its proper divisors (254541096528).

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

101934980400 is a wasteful number, since it uses less digits than its factorization.

101934980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5660 (or 5649 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 101934980400 in words is "one hundred one billion, nine hundred thirty-four million, nine hundred eighty thousand, four hundred".