105753340 has 96 divisors (see below), whose sum is σ = 283497984. Its totient is φ = 32175360.

The previous prime is 105753331. The next prime is 105753353. The reversal of 105753340 is 43357501.

It is a super-2 number, since 2×105753340² = 22367537842311200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 105753299 and 105753308.

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, 65422 + ... + 67018.

It is an arithmetic number, because the mean of its divisors is an integer number (2953104).

Almost surely, 2^105753340 is an apocalyptic number.

105753340 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 105753340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141748992).

105753340 is an abundant number, since it is smaller than the sum of its proper divisors (177744644).

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

105753340 is a wasteful number, since it uses less digits than its factorization.

105753340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1667 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 105753340 is about 10283.6442956765. The cubic root of 105753340 is about 472.8949731575.

The spelling of 105753340 in words is "one hundred five million, seven hundred fifty-three thousand, three hundred forty".