105032251240 has 128 divisors (see below), whose sum is σ = 286231138560. Its totient is φ = 33861832704.

The previous prime is 105032251229. The next prime is 105032251249. The reversal of 105032251240 is 42152230501.

It is a super-2 number, since 2×105032251240² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105032251249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5526394 + ... + 5545366.

It is an arithmetic number, because the mean of its divisors is an integer number (2236180770).

Almost surely, 2^105032251240 is an apocalyptic number.

105032251240 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 105032251240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143115569280).

105032251240 is an abundant number, since it is smaller than the sum of its proper divisors (181198887320).

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

105032251240 is a wasteful number, since it uses less digits than its factorization.

105032251240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20171 (or 20167 counting only the distinct ones).

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

Adding to 105032251240 its reverse (42152230501), we get a palindrome (147184481741).

The spelling of 105032251240 in words is "one hundred five billion, thirty-two million, two hundred fifty-one thousand, two hundred forty".