100497760 has 144 divisors (see below), whose sum is σ = 271479600. Its totient is φ = 35087360.

The previous prime is 100497757. The next prime is 100497773. The reversal of 100497760 is 67794001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561351 + ... + 561529.

It is an arithmetic number, because the mean of its divisors is an integer number (1885275).

Almost surely, 2^100497760 is an apocalyptic number.

100497760 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 100497760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135739800).

100497760 is an abundant number, since it is smaller than the sum of its proper divisors (170981840).

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

100497760 is a wasteful number, since it uses less digits than its factorization.

100497760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 100497760 is about 10024.8571062135. The cubic root of 100497760 is about 464.9277414987.

The spelling of 100497760 in words is "one hundred million, four hundred ninety-seven thousand, seven hundred sixty".