100642554206400 has 168 divisors, whose sum is σ = 330223386921984. Its totient is φ = 26835418342400.

The previous prime is 100642554206377. The next prime is 100642554206407. The reversal of 100642554206400 is 4602455246001.

It is not an unprimeable number, because it can be changed into a prime (100642554206407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48867889 + ... + 50885711.

Almost surely, 2^{100642554206400} is an apocalyptic number.

100642554206400 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 100642554206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165111693460992).

100642554206400 is an abundant number, since it is smaller than the sum of its proper divisors (229580832715584).

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

100642554206400 is a wasteful number, since it uses less digits than its factorization.

100642554206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028239 (or 2028224 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 100642554206400 in words is "one hundred trillion, six hundred forty-two billion, five hundred fifty-four million, two hundred six thousand, four hundred".