100541625 has 32 divisors (see below), whose sum is σ = 174590208. Its totient is φ = 51286400.

The previous prime is 100541599. The next prime is 100541633. The reversal of 100541625 is 526145001.

It is not a de Polignac number, because 100541625 - 2⁵ = 100541593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100541595 and 100541604.

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, 2797 + ... + 14453.

It is an arithmetic number, because the mean of its divisors is an integer number (5455944).

Almost surely, 2^100541625 is an apocalyptic number.

100541625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100541625 is a deficient number, since it is larger than the sum of its proper divisors (74048583).

100541625 is a wasteful number, since it uses less digits than its factorization.

100541625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11698 (or 11688 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 100541625 is about 10027.0446792662. The cubic root of 100541625 is about 464.9953751419.

Adding to 100541625 its reverse (526145001), we get a palindrome (626686626).

The spelling of 100541625 in words is "one hundred million, five hundred forty-one thousand, six hundred twenty-five".