100642662132 has 96 divisors (see below), whose sum is σ = 249706800000. Its totient is φ = 31439880192.

The previous prime is 100642662077. The next prime is 100642662143. The reversal of 100642662132 is 231266246001.

It is a junction number, because it is equal to n+sod(n) for n = 100642662093 and 100642662102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67139119 + ... + 67140617.

It is an arithmetic number, because the mean of its divisors is an integer number (2601112500).

Almost surely, 2^100642662132 is an apocalyptic number.

100642662132 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 100642662132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124853400000).

100642662132 is an abundant number, since it is smaller than the sum of its proper divisors (149064137868).

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

100642662132 is a wasteful number, since it uses less digits than its factorization.

100642662132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 100642662132 in words is "one hundred billion, six hundred forty-two million, six hundred sixty-two thousand, one hundred thirty-two".