100402248480372 has 144 divisors (see below), whose sum is σ = 270099484200000. Its totient is φ = 31358010152448.

The previous prime is 100402248480329. The next prime is 100402248480397. The reversal of 100402248480372 is 273084842204001.

100402248480372 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 22 + 484 + 80 + 3 + 72 = 666.

It is a super-2 number, since 2×100402248480372² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21632379 + ... + 25860477.

It is an arithmetic number, because the mean of its divisors is an integer number (1875690862500).

Almost surely, 2^{100402248480372} is an apocalyptic number.

100402248480372 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 100402248480372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135049742100000).

100402248480372 is an abundant number, since it is smaller than the sum of its proper divisors (169697235719628).

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

100402248480372 is a wasteful number, since it uses less digits than its factorization.

100402248480372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228510 (or 4228505 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 100402248480372 in words is "one hundred trillion, four hundred two billion, two hundred forty-eight million, four hundred eighty thousand, three hundred seventy-two".