100938147840 has 384 divisors, whose sum is σ = 364225680000. Its totient is φ = 26510229504.

The previous prime is 100938147833. The next prime is 100938147859. The reversal of 100938147840 is 48741839001.

It is a happy number.

100938147840 is a `hidden beast` number, since 10 + 0 + 93 + 81 + 478 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18521436 + ... + 18526884.

It is an arithmetic number, because the mean of its divisors is an integer number (948504375).

Almost surely, 2^100938147840 is an apocalyptic number.

100938147840 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 100938147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182112840000).

100938147840 is an abundant number, since it is smaller than the sum of its proper divisors (263287532160).

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

100938147840 is an equidigital number, since it uses as much as digits as its factorization.

100938147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 100938147840 in words is "one hundred billion, nine hundred thirty-eight million, one hundred forty-seven thousand, eight hundred forty".