100826112 has 88 divisors (see below), whose sum is σ = 280619136. Its totient is φ = 32124928.

The previous prime is 100826101. The next prime is 100826123. The reversal of 100826112 is 211628001.

It is an interprime number because it is at equal distance from previous prime (100826101) and next prime (100826123).

It is a super-2 number, since 2×100826112² = 20331809722073088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69943 + ... + 71369.

Almost surely, 2^100826112 is an apocalyptic number.

100826112 is a gapful number since it is divisible by the number (12) 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 100826112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140309568).

100826112 is an abundant number, since it is smaller than the sum of its proper divisors (179793024).

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

100826112 is a wasteful number, since it uses less digits than its factorization.

100826112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 100826112 is about 10041.2206429298. The cubic root of 100826112 is about 465.4335371673.

The spelling of 100826112 in words is "one hundred million, eight hundred twenty-six thousand, one hundred twelve".