100628460 has 96 divisors (see below), whose sum is σ = 314603520. Its totient is φ = 26702784.

The previous prime is 100628443. The next prime is 100628461. The reversal of 100628460 is 64826001.

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

It is not an unprimeable number, because it can be changed into a prime (100628461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165477 + ... + 166083.

It is an arithmetic number, because the mean of its divisors is an integer number (3277120).

Almost surely, 2^100628460 is an apocalyptic number.

100628460 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 100628460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157301760).

100628460 is an abundant number, since it is smaller than the sum of its proper divisors (213975060).

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

100628460 is a wasteful number, since it uses less digits than its factorization.

100628460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100628460 is about 10031.3737842830. The cubic root of 100628460 is about 465.1292044706.

The spelling of 100628460 in words is "one hundred million, six hundred twenty-eight thousand, four hundred sixty".