40100100 has 72 divisors (see below), whose sum is σ = 116659200. Its totient is φ = 10634880.

The previous prime is 40100087. The next prime is 40100113. The reversal of 40100100 is 100104.

It is an interprime number because it is at equal distance from previous prime (40100087) and next prime (40100113).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104509 + ... + 104891.

Almost surely, 2^40100100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58329600).

40100100 is an abundant number, since it is smaller than the sum of its proper divisors (76559100).

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

40100100 is a wasteful number, since it uses less digits than its factorization.

40100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 40100100 is about 6332.4639754206. The cubic root of 40100100 is about 342.2802326808.

Adding to 40100100 its reverse (100104), we get a palindrome (40200204).

The spelling of 40100100 in words is "forty million, one hundred thousand, one hundred".