100132065706400 has 288 divisors, whose sum is σ = 301346095115520. Its totient is φ = 31638772408320.

The previous prime is 100132065706373. The next prime is 100132065706423. The reversal of 100132065706400 is 4607560231001.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43802981 + ... + 46032219.

It is an arithmetic number, because the mean of its divisors is an integer number (1046340608040).

Almost surely, 2^{100132065706400} is an apocalyptic number.

100132065706400 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 100132065706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150673047557760).

100132065706400 is an abundant number, since it is smaller than the sum of its proper divisors (201214029409120).

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

100132065706400 is a wasteful number, since it uses less digits than its factorization.

100132065706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229896 (or 2229883 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 100132065706400 in words is "one hundred trillion, one hundred thirty-two billion, sixty-five million, seven hundred six thousand, four hundred".