100632454380 has 240 divisors, whose sum is σ = 339928475040. Its totient is φ = 24828291072.

The previous prime is 100632454367. The next prime is 100632454381. The reversal of 100632454380 is 83454236001.

100632454380 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 32 + 4 + 543 + 80 = 666.

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 (100632454381) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1593894 + ... + 1655826.

It is an arithmetic number, because the mean of its divisors is an integer number (1416368646).

Almost surely, 2^100632454380 is an apocalyptic number.

100632454380 is a gapful number since it is divisible by the number (10) 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 100632454380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169964237520).

100632454380 is an abundant number, since it is smaller than the sum of its proper divisors (239296020660).

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

100632454380 is a wasteful number, since it uses less digits than its factorization.

100632454380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62030 (or 62019 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 100632454380 in words is "one hundred billion, six hundred thirty-two million, four hundred fifty-four thousand, three hundred eighty".