100377420 has 96 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 22460160.

The previous prime is 100377419. The next prime is 100377421. The reversal of 100377420 is 24773001.

It is an interprime number because it is at equal distance from previous prime (100377419) and next prime (100377421).

It is not an unprimeable number, because it can be changed into a prime (100377421) 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, 2731 + ... + 14429.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2^100377420 is an apocalyptic number.

100377420 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 100377420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

100377420 is an abundant number, since it is smaller than the sum of its proper divisors (229843380).

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

100377420 is a wasteful number, since it uses less digits than its factorization.

100377420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11735 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 100377420 is about 10018.8532277901. The cubic root of 100377420 is about 464.7420930780.

The spelling of 100377420 in words is "one hundred million, three hundred seventy-seven thousand, four hundred twenty".