101963787634944 has 135 divisors (see below), whose sum is σ = 304041901098243. Its totient is φ = 33987444521472.

The previous prime is 101963787634903. The next prime is 101963787634967. The reversal of 101963787634944 is 449436787369101.

It is a happy number.

The square root of 101963787634944 is 10097712.

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

101963787634944 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 6 + 3 + 78 + 7 + 63 + 494 + 4 = 666.

It is a super-2 number, since 2×101963787634944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1454035467 + ... + 1454105589.

Almost surely, 2^{101963787634944} is an apocalyptic number.

101963787634944 is the 10097712-nd square number.

It is an amenable number.

101963787634944 is an abundant number, since it is smaller than the sum of its proper divisors (202078113463299).

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

101963787634944 is an frugal number, since it uses more digits than its factorization.

101963787634944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140274 (or 70128 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 101963787634944 in words is "one hundred one trillion, nine hundred sixty-three billion, seven hundred eighty-seven million, six hundred thirty-four thousand, nine hundred forty-four".