100781044 has 72 divisors (see below), whose sum is σ = 227126760. Its totient is φ = 38755584.

The previous prime is 100781041. The next prime is 100781047. The reversal of 100781044 is 440187001.

It is an interprime number because it is at equal distance from previous prime (100781041) and next prime (100781047).

It can be written as a sum of positive squares in 4 ways, for example, as 15920100 + 84860944 = 3990^2 + 9212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100781041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93742 + ... + 94810.

Almost surely, 2^100781044 is an apocalyptic number.

100781044 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 100781044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113563380).

100781044 is an abundant number, since it is smaller than the sum of its proper divisors (126345716).

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

100781044 is a wasteful number, since it uses less digits than its factorization.

100781044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 100781044 is about 10038.9762426255. The cubic root of 100781044 is about 465.3641791926.

The spelling of 100781044 in words is "one hundred million, seven hundred eighty-one thousand, forty-four".