105235740 has 96 divisors (see below), whose sum is σ = 333668160. Its totient is φ = 27525888.

The previous prime is 105235667. The next prime is 105235769. The reversal of 105235740 is 47532501.

It is a happy number.

It is a super-2 number, since 2×105235740² = 22149121946695200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26782 + ... + 30458.

It is an arithmetic number, because the mean of its divisors is an integer number (3475710).

Almost surely, 2^105235740 is an apocalyptic number.

105235740 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 105235740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166834080).

105235740 is an abundant number, since it is smaller than the sum of its proper divisors (228432420).

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

105235740 is a wasteful number, since it uses less digits than its factorization.

105235740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 105235740 is about 10258.4472509245. The cubic root of 105235740 is about 472.1221973663.

The spelling of 105235740 in words is "one hundred five million, two hundred thirty-five thousand, seven hundred forty".