115172100 has 108 divisors (see below), whose sum is σ = 366154516. Its totient is φ = 30274560.

The previous prime is 115172041. The next prime is 115172107. The reversal of 115172100 is 1271511.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18818244 + 96353856 = 4338^2 + 9816^2 .

It is a super-2 number, since 2×115172100² = 26529225236820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (115172107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64824 + ... + 66576.

Almost surely, 2^115172100 is an apocalyptic number.

115172100 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 115172100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183077258).

115172100 is an abundant number, since it is smaller than the sum of its proper divisors (250982416).

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

115172100 is a wasteful number, since it uses less digits than its factorization.

115172100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1846 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 115172100 is about 10731.8264987839. The cubic root of 115172100 is about 486.5368755864.

The spelling of 115172100 in words is "one hundred fifteen million, one hundred seventy-two thousand, one hundred".