100926144 has 168 divisors, whose sum is σ = 334505808. Its totient is φ = 28753920.

The previous prime is 100926113. The next prime is 100926149. The reversal of 100926144 is 441629001.

It is not an unprimeable number, because it can be changed into a prime (100926149) 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, 107244 + ... + 108180.

It is an arithmetic number, because the mean of its divisors is an integer number (1991106).

Almost surely, 2^100926144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100926144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167252904).

100926144 is an abundant number, since it is smaller than the sum of its proper divisors (233579664).

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

100926144 is a wasteful number, since it uses less digits than its factorization.

100926144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100926144 is about 10046.2004758018. The cubic root of 100926144 is about 465.5874088776.

The spelling of 100926144 in words is "one hundred million, nine hundred twenty-six thousand, one hundred forty-four".