100400100 has 36 divisors (see below), whose sum is σ = 290491824. Its totient is φ = 26773280.

The previous prime is 100400063. The next prime is 100400107. The reversal of 100400100 is 1004001.

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 not an unprimeable number, because it can be changed into a prime (100400107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167034 + ... + 167633.

Almost surely, 2^100400100 is an apocalyptic number.

100400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100400100 is an abundant number, since it is smaller than the sum of its proper divisors (190091724).

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

100400100 is a wasteful number, since it uses less digits than its factorization.

100400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334684 (or 334677 counting only the distinct ones).

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

The square root of 100400100 is about 10019.9850299289. The cubic root of 100400100 is about 464.7770928383. Note that the first 3 decimals are identical.

Adding to 100400100 its reverse (1004001), we get a palindrome (101404101).

Multiplying 100400100 by its reverse (1004001), we get a square (100801800800100 = 10040010²).

100400100 divided by its reverse (1004001) gives a square (100 = 10²).

The spelling of 100400100 in words is "one hundred million, four hundred thousand, one hundred".