104261974560 has 144 divisors (see below), whose sum is σ = 356749697304. Its totient is φ = 27728510976.

The previous prime is 104261974547. The next prime is 104261974573. The reversal of 104261974560 is 65479162401.

104261974560 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 6 + 19 + 74 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (104261974547) and next prime (104261974573).

It can be written as a sum of positive squares in 4 ways, for example, as 71693275536 + 32568699024 = 267756^2 + 180468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 440064 + ... + 634176.

Almost surely, 2^104261974560 is an apocalyptic number.

104261974560 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 104261974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178374848652).

104261974560 is an abundant number, since it is smaller than the sum of its proper divisors (252487722744).

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

104261974560 is a wasteful number, since it uses less digits than its factorization.

104261974560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194507 (or 194496 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 104261974560 in words is "one hundred four billion, two hundred sixty-one million, nine hundred seventy-four thousand, five hundred sixty".