101544195600 has 405 divisors, whose sum is σ = 363258098983. Its totient is φ = 26267781120.

The previous prime is 101544195563. The next prime is 101544195601. The reversal of 101544195600 is 6591445101.

The square root of 101544195600 is 318660.

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

101544195600 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 4 + 41 + 9 + 5 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51661653264 + 49882542336 = 227292^2 + 223344^2 .

It is a super-2 number, since 2×101544195600² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101544195601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 898621144 + ... + 898621256.

Almost surely, 2^101544195600 is an apocalyptic number.

101544195600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101544195600 is the 318660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101544195600

101544195600 is an abundant number, since it is smaller than the sum of its proper divisors (261713903383).

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

101544195600 is a wasteful number, since it uses less digits than its factorization.

101544195600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

Multiplying 101544195600 by its sum of digits (36), we get a square (3655591041600 = 1911960²).

101544195600 divided by its sum of digits (36) gives a square (2820672100 = 53110²).

The spelling of 101544195600 in words is "one hundred one billion, five hundred forty-four million, one hundred ninety-five thousand, six hundred".