105701232 has 120 divisors (see below), whose sum is σ = 342176016. Its totient is φ = 27869184.

The previous prime is 105701221. The next prime is 105701243. The reversal of 105701232 is 232107501.

It is an interprime number because it is at equal distance from previous prime (105701221) and next prime (105701243).

It is a super-2 number, since 2×105701232² = 22345500892635648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 105701199 and 105701208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28848 + ... + 32304.

Almost surely, 2^105701232 is an apocalyptic number.

105701232 is a gapful number since it is divisible by the number (12) 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 105701232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171088008).

105701232 is an abundant number, since it is smaller than the sum of its proper divisors (236474784).

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

105701232 is a wasteful number, since it uses less digits than its factorization.

105701232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3482 counting only the distinct ones).

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

The square root of 105701232 is about 10281.1104458614. The cubic root of 105701232 is about 472.8172903168.

Adding to 105701232 its reverse (232107501), we get a palindrome (337808733).

The spelling of 105701232 in words is "one hundred five million, seven hundred one thousand, two hundred thirty-two".