100961280 has 264 divisors, whose sum is σ = 401080992. Its totient is φ = 23003136.

The previous prime is 100961239. The next prime is 100961281. The reversal of 100961280 is 82169001.

It is not an unprimeable number, because it can be changed into a prime (100961281) 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, 322404 + ... + 322716.

Almost surely, 2^100961280 is an apocalyptic number.

100961280 is a gapful number since it is divisible by the number (10) 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 100961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200540496).

100961280 is an abundant number, since it is smaller than the sum of its proper divisors (300119712).

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

100961280 is a wasteful number, since it uses less digits than its factorization.

100961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 100961280 is about 10047.9490444568. The cubic root of 100961280 is about 465.6414318181.

The spelling of 100961280 in words is "one hundred million, nine hundred sixty-one thousand, two hundred eighty".