101812046400 has 189 divisors, whose sum is σ = 362000193321. Its totient is φ = 27139668480.

The previous prime is 101812046359. The next prime is 101812046411. The reversal of 101812046400 is 4640218101.

It is a happy number.

The square root of 101812046400 is 319080.

It is a perfect power (a square), and thus also a powerful number.

101812046400 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 12 + 0 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36652336704 + 65159709696 = 191448^2 + 255264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38288271 + ... + 38290929.

Almost surely, 2^101812046400 is an apocalyptic number.

101812046400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101812046400 is the 319080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101812046400

101812046400 is an abundant number, since it is smaller than the sum of its proper divisors (260188146921).

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

101812046400 is an frugal number, since it uses more digits than its factorization.

101812046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 101812046400 in words is "one hundred one billion, eight hundred twelve million, forty-six thousand, four hundred".