100737040 has 20 divisors (see below), whose sum is σ = 234213804. Its totient is φ = 40294784.

The previous prime is 100736989. The next prime is 100737071. The reversal of 100737040 is 40737001.

It can be written as a sum of positive squares in 2 ways, for example, as 26708224 + 74028816 = 5168^2 + 8604^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629527 + ... + 629686.

Almost surely, 2^100737040 is an apocalyptic number.

100737040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100737040 is an abundant number, since it is smaller than the sum of its proper divisors (133476764).

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

100737040 is a wasteful number, since it uses less digits than its factorization.

100737040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259226 (or 1259220 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 100737040 is about 10036.7843455960. The cubic root of 100737040 is about 465.2964387205.

The spelling of 100737040 in words is "one hundred million, seven hundred thirty-seven thousand, forty".