105231500 has 144 divisors (see below), whose sum is σ = 269601696. Its totient is φ = 35568000.

The previous prime is 105231493. The next prime is 105231521. The reversal of 105231500 is 5132501.

It is a super-2 number, since 2×105231500² = 22147337184500000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1985474 + ... + 1985526.

It is an arithmetic number, because the mean of its divisors is an integer number (1872234).

Almost surely, 2^105231500 is an apocalyptic number.

105231500 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 105231500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134800848).

105231500 is an abundant number, since it is smaller than the sum of its proper divisors (164370196).

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

105231500 is a wasteful number, since it uses less digits than its factorization.

105231500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 105231500 is about 10258.2405898867. The cubic root of 105231500 is about 472.1158566023.

The spelling of 105231500 in words is "one hundred five million, two hundred thirty-one thousand, five hundred".