105453040 has 320 divisors, whose sum is σ = 347120640. Its totient is φ = 28753920.

The previous prime is 105452981. The next prime is 105453113. The reversal of 105453040 is 40354501.

105453040 = T₄₉₁ + T₄₉₂ + ... + T₉₀₈.

It is a super-2 number, since 2×105453040² = 22240687290483200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1989654 + ... + 1989706.

It is an arithmetic number, because the mean of its divisors is an integer number (1084752).

Almost surely, 2^105453040 is an apocalyptic number.

105453040 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 105453040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173560320).

105453040 is an abundant number, since it is smaller than the sum of its proper divisors (241667600).

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

105453040 is a wasteful number, since it uses less digits than its factorization.

105453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 105453040 is about 10269.0330606148. The cubic root of 105453040 is about 472.4469337490.

The spelling of 105453040 in words is "one hundred five million, four hundred fifty-three thousand, forty".