100981944 has 256 divisors, whose sum is σ = 345600000. Its totient is φ = 27264384.

The previous prime is 100981939. The next prime is 100981957. The reversal of 100981944 is 449189001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100981899 and 100981908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2148529 + ... + 2148575.

It is an arithmetic number, because the mean of its divisors is an integer number (1350000).

Almost surely, 2^100981944 is an apocalyptic number.

100981944 is a gapful number since it is divisible by the number (14) 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 100981944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172800000).

100981944 is an abundant number, since it is smaller than the sum of its proper divisors (244618056).

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

100981944 is a wasteful number, since it uses less digits than its factorization.

100981944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 100981944 is about 10048.9772613933. The cubic root of 100981944 is about 465.6731976533.

The spelling of 100981944 in words is "one hundred million, nine hundred eighty-one thousand, nine hundred forty-four".