100961840 has 40 divisors (see below), whose sum is σ = 268271520. Its totient is φ = 34615296.

The previous prime is 100961837. The next prime is 100961849. The reversal of 100961840 is 48169001.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (100961849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89585 + ... + 90704.

It is an arithmetic number, because the mean of its divisors is an integer number (6706788).

Almost surely, 2^100961840 is an apocalyptic number.

100961840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100961840 is an abundant number, since it is smaller than the sum of its proper divisors (167309680).

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

100961840 is a wasteful number, since it uses less digits than its factorization.

100961840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180309 (or 180303 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 100961840 is about 10047.9769108015. The cubic root of 100961840 is about 465.6422927379.

The spelling of 100961840 in words is "one hundred million, nine hundred sixty-one thousand, eight hundred forty".