100257000 has 128 divisors (see below), whose sum is σ = 326626560. Its totient is φ = 25555200.

The previous prime is 100256999. The next prime is 100257019. The reversal of 100257000 is 752001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68274 + ... + 69726.

It is an arithmetic number, because the mean of its divisors is an integer number (2551770).

Almost surely, 2^100257000 is an apocalyptic number.

100257000 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 100257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163313280).

100257000 is an abundant number, since it is smaller than the sum of its proper divisors (226369560).

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

100257000 is a wasteful number, since it uses less digits than its factorization.

100257000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 100257000 is about 10012.8417544671. The cubic root of 100257000 is about 464.5561726543.

The spelling of 100257000 in words is "one hundred million, two hundred fifty-seven thousand".