100057770 has 48 divisors (see below), whose sum is σ = 268549632. Its totient is φ = 25820640.

The previous prime is 100057729. The next prime is 100057777. The reversal of 100057770 is 77750001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100057777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15142 + ... + 20721.

It is an arithmetic number, because the mean of its divisors is an integer number (5594784).

Almost surely, 2^100057770 is an apocalyptic number.

100057770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100057770 is an abundant number, since it is smaller than the sum of its proper divisors (168491862).

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

100057770 is a wasteful number, since it uses less digits than its factorization.

100057770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35907 (or 35904 counting only the distinct ones).

The product of its (nonzero) digits is 1715, while the sum is 27.

The square root of 100057770 is about 10002.8880829488. Note that the first 3 decimals coincide. The cubic root of 100057770 is about 464.2482476839.

The spelling of 100057770 in words is "one hundred million, fifty-seven thousand, seven hundred seventy".