101939423400 has 336 divisors, whose sum is σ = 364039629660. Its totient is φ = 26519270400.

The previous prime is 101939423393. The next prime is 101939423401. The reversal of 101939423400 is 4324939101.

101939423400 is a `hidden beast` number, since 1 + 0 + 193 + 9 + 423 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8556620004 + 93382803396 = 92502^2 + 305586^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101939423401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5969274 + ... + 5986326.

Almost surely, 2^101939423400 is an apocalyptic number.

101939423400 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 101939423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182019814830).

101939423400 is an abundant number, since it is smaller than the sum of its proper divisors (262100206260).

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

101939423400 is a wasteful number, since it uses less digits than its factorization.

101939423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128 (or 17104 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 101939423400 in words is "one hundred one billion, nine hundred thirty-nine million, four hundred twenty-three thousand, four hundred".