105400100 has 36 divisors (see below), whose sum is σ = 246314964. Its totient is φ = 38916480.

The previous prime is 105400091. The next prime is 105400109. The reversal of 105400100 is 1004501.

It is an interprime number because it is at equal distance from previous prime (105400091) and next prime (105400109).

It can be written as a sum of positive squares in 6 ways, for example, as 1196836 + 104203264 = 1094^2 + 10208^2 .

It is a super-2 number, since 2×105400100² = 22218362160020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105400109) 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, 39239 + ... + 41838.

Almost surely, 2^105400100 is an apocalyptic number.

105400100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105400100 is an abundant number, since it is smaller than the sum of its proper divisors (140914864).

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

105400100 is a wasteful number, since it uses less digits than its factorization.

105400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81104 (or 81097 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 105400100 is about 10266.4550843999. The cubic root of 105400100 is about 472.3678605512.

Adding to 105400100 its reverse (1004501), we get a palindrome (106404601).

The spelling of 105400100 in words is "one hundred five million, four hundred thousand, one hundred".