100496960 has 56 divisors (see below), whose sum is σ = 240167160. Its totient is φ = 40054784.

The previous prime is 100496941. The next prime is 100496969. The reversal of 100496960 is 69694001.

It can be written as a sum of positive squares in 4 ways, for example, as 3356224 + 97140736 = 1832^2 + 9856^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100496960.

It is not an unprimeable number, because it can be changed into a prime (100496969) 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, 162572 + ... + 163188.

Almost surely, 2^100496960 is an apocalyptic number.

100496960 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 100496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120083580).

100496960 is an abundant number, since it is smaller than the sum of its proper divisors (139670200).

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

100496960 is an equidigital number, since it uses as much as digits as its factorization.

100496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 100496960 is about 10024.8172053160. The cubic root of 100496960 is about 464.9265078288.

The spelling of 100496960 in words is "one hundred million, four hundred ninety-six thousand, nine hundred sixty".