100149760 has 160 divisors (see below), whose sum is σ = 265161600. Its totient is φ = 36126720.

The previous prime is 100149667. The next prime is 100149773. The reversal of 100149760 is 67941001.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410525 + ... + 1410595.

It is an arithmetic number, because the mean of its divisors is an integer number (1657260).

Almost surely, 2^100149760 is an apocalyptic number.

100149760 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 100149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132580800).

100149760 is an abundant number, since it is smaller than the sum of its proper divisors (165011840).

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

100149760 is an equidigital number, since it uses as much as digits as its factorization.

100149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 100149760 is about 10007.4851985901. The cubic root of 100149760 is about 464.3904759033.

The spelling of 100149760 in words is "one hundred million, one hundred forty-nine thousand, seven hundred sixty".