100257345 has 80 divisors (see below), whose sum is σ = 192360960. Its totient is φ = 49838976.

The previous prime is 100257331. The next prime is 100257371. The reversal of 100257345 is 543752001.

It is a happy number.

It is not a de Polignac number, because 100257345 - 2⁹ = 100256833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 437691 + ... + 437919.

It is an arithmetic number, because the mean of its divisors is an integer number (2404512).

Almost surely, 2^100257345 is an apocalyptic number.

100257345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100257345 is a deficient number, since it is larger than the sum of its proper divisors (92103615).

100257345 is a wasteful number, since it uses less digits than its factorization.

100257345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 100257345 is about 10012.8589823287. The cubic root of 100257345 is about 464.5567055238.

The spelling of 100257345 in words is "one hundred million, two hundred fifty-seven thousand, three hundred forty-five".