100214920 has 48 divisors (see below), whose sum is σ = 243382860. Its totient is φ = 36918144.

The previous prime is 100214899. The next prime is 100214941. The reversal of 100214920 is 29412001.

It is an interprime number because it is at equal distance from previous prime (100214899) and next prime (100214941).

It can be written as a sum of positive squares in 2 ways, for example, as 93276964 + 6937956 = 9658^2 + 2634^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228061 + ... + 228499.

Almost surely, 2^100214920 is an apocalyptic number.

100214920 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 100214920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121691430).

100214920 is an abundant number, since it is smaller than the sum of its proper divisors (143167940).

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

100214920 is an equidigital number, since it uses as much as digits as its factorization.

100214920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 100214920 is about 10010.7402323704. The cubic root of 100214920 is about 464.4911688496.

Adding to 100214920 its reverse (29412001), we get a palindrome (129626921).

It can be divided in two parts, 10021 and 4920, that added together give a palindrome (14941).

The spelling of 100214920 in words is "one hundred million, two hundred fourteen thousand, nine hundred twenty".