105431700 has 144 divisors (see below), whose sum is σ = 340978176. Its totient is φ = 24931200.

The previous prime is 105431699. The next prime is 105431707. The reversal of 105431700 is 7134501.

It is a super-2 number, since 2×105431700² = 22231686729780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105431707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141529 + ... + 142271.

It is an arithmetic number, because the mean of its divisors is an integer number (2367904).

Almost surely, 2^105431700 is an apocalyptic number.

105431700 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 105431700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170489088).

105431700 is an abundant number, since it is smaller than the sum of its proper divisors (235546476).

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

105431700 is a wasteful number, since it uses less digits than its factorization.

105431700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105431700 is about 10267.9939618214. The cubic root of 105431700 is about 472.4150626978.

The spelling of 105431700 in words is "one hundred five million, four hundred thirty-one thousand, seven hundred".