100032620 has 48 divisors (see below), whose sum is σ = 220274208. Its totient is φ = 38115840.

The previous prime is 100032617. The next prime is 100032623. The reversal of 100032620 is 26230001.

It is an interprime number because it is at equal distance from previous prime (100032617) and next prime (100032623).

It is a junction number, because it is equal to n+sod(n) for n = 100032595 and 100032604.

It is not an unprimeable number, because it can be changed into a prime (100032623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33842 + ... + 36678.

It is an arithmetic number, because the mean of its divisors is an integer number (4589046).

Almost surely, 2^100032620 is an apocalyptic number.

100032620 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 100032620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110137104).

100032620 is an abundant number, since it is smaller than the sum of its proper divisors (120241588).

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

100032620 is a wasteful number, since it uses less digits than its factorization.

100032620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2930 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 100032620 is about 10001.6308670136. The cubic root of 100032620 is about 464.2093474171.

Adding to 100032620 its reverse (26230001), we get a palindrome (126262621).

The spelling of 100032620 in words is "one hundred million, thirty-two thousand, six hundred twenty".