101772132264 has 64 divisors (see below), whose sum is σ = 308400408000. Its totient is φ = 30840039360.

The previous prime is 101772132263. The next prime is 101772132277. The reversal of 101772132264 is 462231277101.

101772132264 is a `hidden beast` number, since 10 + 177 + 213 + 2 + 264 = 666.

It is a super-2 number, since 2×101772132264² (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 not an unprimeable number, because it can be changed into a prime (101772132263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21414319 + ... + 21419070.

It is an arithmetic number, because the mean of its divisors is an integer number (4818756375).

Almost surely, 2^101772132264 is an apocalyptic number.

It is an amenable number.

101772132264 is an abundant number, since it is smaller than the sum of its proper divisors (206628275736).

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

101772132264 is a wasteful number, since it uses less digits than its factorization.

101772132264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42833415 (or 42833405 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 101772132264 in words is "one hundred one billion, seven hundred seventy-two million, one hundred thirty-two thousand, two hundred sixty-four".