101964723324552 has 96 divisors (see below), whose sum is σ = 309401556122880. Its totient is φ = 30063309079680.

The previous prime is 101964723324517. The next prime is 101964723324559. The reversal of 101964723324552 is 255423327469101.

It is a happy number.

101964723324552 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 6 + 47 + 23 + 3 + 24 + 552 = 666.

It is not an unprimeable number, because it can be changed into a prime (101964723324559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1739745528 + ... + 1739804135.

It is an arithmetic number, because the mean of its divisors is an integer number (3222932876280).

Almost surely, 2^{101964723324552} is an apocalyptic number.

101964723324552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101964723324552 is an abundant number, since it is smaller than the sum of its proper divisors (207436832798328).

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

101964723324552 is a wasteful number, since it uses less digits than its factorization.

101964723324552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479549723 (or 3479549716 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 101964723324552 in words is "one hundred one trillion, nine hundred sixty-four billion, seven hundred twenty-three million, three hundred twenty-four thousand, five hundred fifty-two".