100922112 has 180 divisors, whose sum is σ = 312617536. Its totient is φ = 32348160.

The previous prime is 100922093. The next prime is 100922131. The reversal of 100922112 is 211229001.

It is an interprime number because it is at equal distance from previous prime (100922093) and next prime (100922131).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 642738 + ... + 642894.

Almost surely, 2^100922112 is an apocalyptic number.

100922112 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 100922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156308768).

100922112 is an abundant number, since it is smaller than the sum of its proper divisors (211695424).

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

100922112 is an equidigital number, since it uses as much as digits as its factorization.

100922112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 100922112 is about 10045.9998009158. Note that the first 3 decimals coincide. The cubic root of 100922112 is about 465.5812087219.

The spelling of 100922112 in words is "one hundred million, nine hundred twenty-two thousand, one hundred twelve".