104174774100 has 216 divisors, whose sum is σ = 331540597752. Its totient is φ = 27354931200.

The previous prime is 104174774089. The next prime is 104174774111. The reversal of 104174774100 is 1477471401.

104174774100 is a `hidden beast` number, since 1 + 0 + 4 + 174 + 77 + 410 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (104174774089) and next prime (104174774111).

It can be written as a sum of positive squares in 12 ways, for example, as 42200663184 + 61974110916 = 205428^2 + 248946^2 .

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 71 ways as a sum of consecutive naturals, for example, 67078924 + ... + 67080476.

Almost surely, 2^104174774100 is an apocalyptic number.

104174774100 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 104174774100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165770298876).

104174774100 is an abundant number, since it is smaller than the sum of its proper divisors (227365823652).

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

104174774100 is a wasteful number, since it uses less digits than its factorization.

104174774100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 104174774100 in words is "one hundred four billion, one hundred seventy-four million, seven hundred seventy-four thousand, one hundred".