105133840 has 160 divisors (see below), whose sum is σ = 302480640. Its totient is φ = 33177600.

The previous prime is 105133837. The next prime is 105133843. The reversal of 105133840 is 48331501.

It is an interprime number because it is at equal distance from previous prime (105133837) and next prime (105133843).

It is a super-2 number, since 2×105133840² = 22106248626291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105133843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436120 + ... + 436360.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 2^105133840 is an apocalyptic number.

105133840 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 105133840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

105133840 is an abundant number, since it is smaller than the sum of its proper divisors (197346800).

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

105133840 is a wasteful number, since it uses less digits than its factorization.

105133840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105133840 is about 10253.4794094493. The cubic root of 105133840 is about 471.9697624985.

The spelling of 105133840 in words is "one hundred five million, one hundred thirty-three thousand, eight hundred forty".