112731518600100 has 81 divisors (see below), whose sum is σ = 353351680592547. Its totient is φ = 30061653353280.

The previous prime is 112731518600069. The next prime is 112731518600131. The reversal of 112731518600100 is 1006815137211.

It is a happy number.

The square root of 112731518600100 is 10617510.

It is a perfect power (a square), and thus also a powerful number.

112731518600100 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 31 + 5 + 1 + 8 + 600 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (112731518600069) and next prime (112731518600131).

It can be written as a sum of positive squares in 4 ways, for example, as 44773522455204 + 67957996144896 = 6691302^2 + 8243664^2 .

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 26 ways as a sum of consecutive naturals, for example, 318348342 + ... + 318702258.

Almost surely, 2^{112731518600100} is an apocalyptic number.

112731518600100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112731518600100 is the 10617510-th square number.

It is an amenable number.

112731518600100 is an abundant number, since it is smaller than the sum of its proper divisors (240620161992447).

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

112731518600100 is an frugal number, since it uses more digits than its factorization.

112731518600100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707854 (or 353927 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

112731518600100 divided by its sum of digits (36) gives a square (3131431072225 = 1769585²).

The spelling of 112731518600100 in words is "one hundred twelve trillion, seven hundred thirty-one billion, five hundred eighteen million, six hundred thousand, one hundred".