100867404600000 has 2016 divisors, whose sum is σ = 387319621957632. Its totient is φ = 26009164800000.

The previous prime is 100867404599987. The next prime is 100867404600023. The reversal of 100867404600000 is 6404768001.

100867404600000 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 6 + 7 + 40 + 4 + 600 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 444349799887 + ... + 444349800113.

It is an arithmetic number, because the mean of its divisors is an integer number (192122828352).

Almost surely, 2^{100867404600000} is an apocalyptic number.

100867404600000 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 100867404600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193659810978816).

100867404600000 is an abundant number, since it is smaller than the sum of its proper divisors (286452217357632).

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

100867404600000 is an frugal number, since it uses more digits than its factorization.

100867404600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 100867404600000 in words is "one hundred trillion, eight hundred sixty-seven billion, four hundred four million, six hundred thousand".