100953360 has 120 divisors (see below), whose sum is σ = 350049024. Its totient is φ = 26046720.

The previous prime is 100953341. The next prime is 100953367. The reversal of 100953360 is 63359001.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (100953367) 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, 20059 + ... + 24581.

Almost surely, 2^100953360 is an apocalyptic number.

100953360 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 100953360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175024512).

100953360 is an abundant number, since it is smaller than the sum of its proper divisors (249095664).

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

100953360 is a wasteful number, since it uses less digits than its factorization.

100953360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4564 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 100953360 is about 10047.5549264485. The cubic root of 100953360 is about 465.6292556103.

The spelling of 100953360 in words is "one hundred million, nine hundred fifty-three thousand, three hundred sixty".