105625240 has 64 divisors (see below), whose sum is σ = 274478400. Its totient is φ = 35831808.

The previous prime is 105625211. The next prime is 105625249. The reversal of 105625240 is 42526501.

It is a super-2 number, since 2×105625240² = 22313382650115200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105625249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25216 + ... + 29104.

It is an arithmetic number, because the mean of its divisors is an integer number (4288725).

Almost surely, 2^105625240 is an apocalyptic number.

105625240 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 105625240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137239200).

105625240 is an abundant number, since it is smaller than the sum of its proper divisors (168853160).

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

105625240 is a wasteful number, since it uses less digits than its factorization.

105625240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 4000 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 105625240 is about 10277.4140716427. The cubic root of 105625240 is about 472.7039553229.

The spelling of 105625240 in words is "one hundred five million, six hundred twenty-five thousand, two hundred forty".