101032436736 has 891 divisors, whose sum is σ = 381890016963. Its totient is φ = 25631907840.

The previous prime is 101032436719. The next prime is 101032436737. The reversal of 101032436736 is 637634230101.

The square root of 101032436736 is 317856.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 101032436736.

It is not an unprimeable number, because it can be changed into a prime (101032436737) 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, 2349591531 + ... + 2349591573.

Almost surely, 2^101032436736 is an apocalyptic number.

101032436736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101032436736 is the 317856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101032436736

101032436736 is an abundant number, since it is smaller than the sum of its proper divisors (280857580227).

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

101032436736 is a wasteful number, since it uses less digits than its factorization.

101032436736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Multiplying 101032436736 by its sum of digits (36), we get a square (3637167722496 = 1907136²).

101032436736 divided by its sum of digits (36) gives a square (2806456576 = 52976²).

Adding to 101032436736 its reverse (637634230101), we get a palindrome (738666666837).

The spelling of 101032436736 in words is "one hundred one billion, thirty-two million, four hundred thirty-six thousand, seven hundred thirty-six".