100351125 has 48 divisors (see below), whose sum is σ = 206758656. Its totient is φ = 45871200.

The previous prime is 100351117. The next prime is 100351133. The reversal of 100351125 is 521153001.

It is an interprime number because it is at equal distance from previous prime (100351117) and next prime (100351133).

It is not a de Polignac number, because 100351125 - 2³ = 100351117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100351098 and 100351107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1504 + ... + 14246.

It is an arithmetic number, because the mean of its divisors is an integer number (4307472).

Almost surely, 2^100351125 is an apocalyptic number.

100351125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100351125 is an abundant number, since it is smaller than the sum of its proper divisors (106407531).

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

100351125 is a wasteful number, since it uses less digits than its factorization.

100351125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12771 (or 12758 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 100351125 is about 10017.5408659012. The cubic root of 100351125 is about 464.7015080520.

The spelling of 100351125 in words is "one hundred million, three hundred fifty-one thousand, one hundred twenty-five".