100157145 has 48 divisors (see below), whose sum is σ = 177858240. Its totient is φ = 48090240.

The previous prime is 100157131. The next prime is 100157171. The reversal of 100157145 is 541751001.

It is not a de Polignac number, because 100157145 - 2¹³ = 100148953 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252087 + ... + 252483.

It is an arithmetic number, because the mean of its divisors is an integer number (3705380).

Almost surely, 2^100157145 is an apocalyptic number.

100157145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100157145 is a deficient number, since it is larger than the sum of its proper divisors (77701095).

100157145 is a wasteful number, since it uses less digits than its factorization.

100157145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 100157145 is about 10007.8541656041. The cubic root of 100157145 is about 464.4018902737.

The spelling of 100157145 in words is "one hundred million, one hundred fifty-seven thousand, one hundred forty-five".