100112958 has 48 divisors (see below), whose sum is σ = 237390192. Its totient is φ = 30240000.

The previous prime is 100112953. The next prime is 100112963. The reversal of 100112958 is 859211001.

It is an interprime number because it is at equal distance from previous prime (100112953) and next prime (100112963).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82758 + ... + 83958.

It is an arithmetic number, because the mean of its divisors is an integer number (4945629).

Almost surely, 2^100112958 is an apocalyptic number.

100112958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100112958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118695096).

100112958 is an abundant number, since it is smaller than the sum of its proper divisors (137277234).

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

100112958 is a wasteful number, since it uses less digits than its factorization.

100112958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 100112958 is about 10005.6463059614. The cubic root of 100112958 is about 464.3335857948. Note that the first 3 decimals are identical.

Adding to 100112958 its reverse (859211001), we get a palindrome (959323959).

The spelling of 100112958 in words is "one hundred million, one hundred twelve thousand, nine hundred fifty-eight".