107858249070 has 192 divisors, whose sum is σ = 317918974464. Its totient is φ = 23086229760.

The previous prime is 107858248991. The next prime is 107858249077. The reversal of 107858249070 is 70942858701.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107858249077) 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 95 ways as a sum of consecutive naturals, for example, 2245647 + ... + 2293173.

It is an arithmetic number, because the mean of its divisors is an integer number (1655827992).

Almost surely, 2^107858249070 is an apocalyptic number.

107858249070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107858249070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158959487232).

107858249070 is an abundant number, since it is smaller than the sum of its proper divisors (210060725394).

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

107858249070 is a wasteful number, since it uses less digits than its factorization.

107858249070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47607 (or 47584 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 107858249070 in words is "one hundred seven billion, eight hundred fifty-eight million, two hundred forty-nine thousand, seventy".