101492258400 has 432 divisors, whose sum is σ = 386568851760. Its totient is φ = 24908083200.

The previous prime is 101492258299. The next prime is 101492258419. The reversal of 101492258400 is 4852294101.

101492258400 is a `hidden beast` number, since 10 + 1 + 49 + 22 + 584 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35472970 + ... + 35475830.

It is an arithmetic number, because the mean of its divisors is an integer number (894835305).

Almost surely, 2^101492258400 is an apocalyptic number.

101492258400 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 101492258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193284425880).

101492258400 is an abundant number, since it is smaller than the sum of its proper divisors (285076593360).

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

101492258400 is a wasteful number, since it uses less digits than its factorization.

101492258400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3279 (or 3263 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 101492258400 in words is "one hundred one billion, four hundred ninety-two million, two hundred fifty-eight thousand, four hundred".