1000100400 has 120 divisors (see below), whose sum is σ = 3450143760. Its totient is φ = 246174720.

The previous prime is 1000100383. The next prime is 1000100401. The reversal of 1000100400 is 40010001.

It is a tau number, because it is divible by the number of its divisors (120).

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 (1000100401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16455 + ... + 47654.

It is an arithmetic number, because the mean of its divisors is an integer number (28751198).

Almost surely, 2^1000100400 is an apocalyptic number.

1000100400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000100400 is an abundant number, since it is smaller than the sum of its proper divisors (2450043360).

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

1000100400 is a wasteful number, since it uses less digits than its factorization.

1000100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64143 (or 64132 counting only the distinct ones).

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

The square root of 1000100400 is about 31624.3640252259. The cubic root of 1000100400 is about 1000.0334655467.

Adding to 1000100400 its reverse (40010001), we get a palindrome (1040110401).

The spelling of 1000100400 in words is "one billion, one hundred thousand, four hundred".