100377825 has 12 divisors (see below), whose sum is σ = 165958128. Its totient is φ = 53534800.

The previous prime is 100377791. The next prime is 100377829. The reversal of 100377825 is 528773001.

It is not a de Polignac number, because 100377825 - 2⁸ = 100377569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100377829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 669111 + ... + 669260.

It is an arithmetic number, because the mean of its divisors is an integer number (13829844).

Almost surely, 2^100377825 is an apocalyptic number.

100377825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100377825 is a deficient number, since it is larger than the sum of its proper divisors (65580303).

100377825 is a wasteful number, since it uses less digits than its factorization.

100377825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338384 (or 1338379 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 100377825 is about 10018.8734396638. The cubic root of 100377825 is about 464.7427181199.

The spelling of 100377825 in words is "one hundred million, three hundred seventy-seven thousand, eight hundred twenty-five".