100499040 has 144 divisors (see below), whose sum is σ = 346849776. Its totient is φ = 26496000.

The previous prime is 100499039. The next prime is 100499111. The reversal of 100499040 is 40994001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 100498995 and 100499013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145095 + ... + 145785.

It is an arithmetic number, because the mean of its divisors is an integer number (2408679).

Almost surely, 2^100499040 is an apocalyptic number.

100499040 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 100499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173424888).

100499040 is an abundant number, since it is smaller than the sum of its proper divisors (246350736).

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

100499040 is a wasteful number, since it uses less digits than its factorization.

100499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 100499040 is about 10024.9209473192. The cubic root of 100499040 is about 464.9297153569.

The spelling of 100499040 in words is "one hundred million, four hundred ninety-nine thousand, forty".