101900462400 has 420 divisors, whose sum is σ = 408617135520. Its totient is φ = 24702796800.

The previous prime is 101900462381. The next prime is 101900462413. The reversal of 101900462400 is 4264009101.

101900462400 is a `hidden beast` number, since 10 + 190 + 0 + 4 + 62 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1389861 + ... + 1461339.

Almost surely, 2^101900462400 is an apocalyptic number.

101900462400 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 101900462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204308567760).

101900462400 is an abundant number, since it is smaller than the sum of its proper divisors (306716673120).

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

101900462400 is a wasteful number, since it uses less digits than its factorization.

101900462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71524 (or 71500 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 101900462400 in words is "one hundred one billion, nine hundred million, four hundred sixty-two thousand, four hundred".