100410040 has 64 divisors (see below), whose sum is σ = 231608160. Its totient is φ = 39168000.

The previous prime is 100410029. The next prime is 100410043. The reversal of 100410040 is 40014001.

It is a super-2 number, since 2×100410040² = 20164352265603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100409999 and 100410026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100410043) 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, 399915 + ... + 400165.

Almost surely, 2^100410040 is an apocalyptic number.

100410040 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 100410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115804080).

100410040 is an abundant number, since it is smaller than the sum of its proper divisors (131198120).

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

100410040 is a wasteful number, since it uses less digits than its factorization.

100410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100410040 is about 10020.4810263779. The cubic root of 100410040 is about 464.7924305781.

Adding to 100410040 its reverse (40014001), we get a palindrome (140424041).

The spelling of 100410040 in words is "one hundred million, four hundred ten thousand, forty".