100901446632 has 160 divisors (see below), whose sum is σ = 325317115200. Its totient is φ = 28621403136.

The previous prime is 100901446631. The next prime is 100901446643. The reversal of 100901446632 is 236644109001.

100901446632 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 14 + 4 + 6 + 632 = 666.

It is a super-2 number, since 2×100901446632² (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 (100901446631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 550488 + ... + 710520.

It is an arithmetic number, because the mean of its divisors is an integer number (2033231970).

Almost surely, 2^100901446632 is an apocalyptic number.

100901446632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100901446632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162658557600).

100901446632 is an abundant number, since it is smaller than the sum of its proper divisors (224415668568).

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

100901446632 is a wasteful number, since it uses less digits than its factorization.

100901446632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160197 (or 160184 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 100901446632 in words is "one hundred billion, nine hundred one million, four hundred forty-six thousand, six hundred thirty-two".