100456620 has 144 divisors (see below), whose sum is σ = 314514144. Its totient is φ = 23936000.

The previous prime is 100456613. The next prime is 100456627. The reversal of 100456620 is 26654001.

It is an interprime number because it is at equal distance from previous prime (100456613) and next prime (100456627).

It is not an unprimeable number, because it can be changed into a prime (100456627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 733192 + ... + 733328.

It is an arithmetic number, because the mean of its divisors is an integer number (2184126).

Almost surely, 2^100456620 is an apocalyptic number.

100456620 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 100456620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157257072).

100456620 is an abundant number, since it is smaller than the sum of its proper divisors (214057524).

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

100456620 is a wasteful number, since it uses less digits than its factorization.

100456620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 100456620 is about 10022.8049966065. The cubic root of 100456620 is about 464.8642915344.

The spelling of 100456620 in words is "one hundred million, four hundred fifty-six thousand, six hundred twenty".