100104566739840 has 2560 divisors, whose sum is σ = 416615367168000. Its totient is φ = 22696583823360.

The previous prime is 100104566739817. The next prime is 100104566739847. The reversal of 100104566739840 is 48937665401001.

100104566739840 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 4 + 566 + 7 + 39 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100104566739847) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 108927710901 + ... + 108927711819.

It is an arithmetic number, because the mean of its divisors is an integer number (162740377800).

Almost surely, 2^{100104566739840} is an apocalyptic number.

100104566739840 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 100104566739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208307683584000).

100104566739840 is an abundant number, since it is smaller than the sum of its proper divisors (316510800428160).

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

100104566739840 is a wasteful number, since it uses less digits than its factorization.

100104566739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 100104566739840 in words is "one hundred trillion, one hundred four billion, five hundred sixty-six million, seven hundred thirty-nine thousand, eight hundred forty".