100232466152400 has 480 divisors, whose sum is σ = 368688929898240. Its totient is φ = 25845958656000.

The previous prime is 100232466152341. The next prime is 100232466152417. The reversal of 100232466152400 is 4251664232001.

100232466152400 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 3 + 2 + 466 + 152 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49034805 + ... + 51037995.

It is an arithmetic number, because the mean of its divisors is an integer number (768101937288).

Almost surely, 2^{100232466152400} is an apocalyptic number.

100232466152400 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 100232466152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184344464949120).

100232466152400 is an abundant number, since it is smaller than the sum of its proper divisors (268456463745840).

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

100232466152400 is a wasteful number, since it uses less digits than its factorization.

100232466152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003372 (or 2003355 counting only the distinct ones).

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

The spelling of 100232466152400 in words is "one hundred trillion, two hundred thirty-two billion, four hundred sixty-six million, one hundred fifty-two thousand, four hundred".