105738040 has 48 divisors (see below), whose sum is σ = 251105400. Its totient is φ = 39961728.

The previous prime is 105738037. The next prime is 105738043. The reversal of 105738040 is 40837501.

It is an interprime number because it is at equal distance from previous prime (105738037) and next prime (105738043).

It is a super-2 number, since 2×105738040² = 22361066206083200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105738043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283294 + ... + 283666.

Almost surely, 2^105738040 is an apocalyptic number.

105738040 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 105738040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125552700).

105738040 is an abundant number, since it is smaller than the sum of its proper divisors (145367360).

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

105738040 is an equidigital number, since it uses as much as digits as its factorization.

105738040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 105738040 is about 10282.9003690593. The cubic root of 105738040 is about 472.8721664955.

The spelling of 105738040 in words is "one hundred five million, seven hundred thirty-eight thousand, forty".