106874153850 has 144 divisors (see below), whose sum is σ = 283367934720. Its totient is φ = 26628403200.

The previous prime is 106874153833. The next prime is 106874153891. The reversal of 106874153850 is 58351478601.

It is a super-2 number, since 2×106874153850² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106874153850.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3896986 + ... + 3924314.

It is an arithmetic number, because the mean of its divisors is an integer number (1967832880).

Almost surely, 2^106874153850 is an apocalyptic number.

106874153850 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 106874153850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141683967360).

106874153850 is an abundant number, since it is smaller than the sum of its proper divisors (176493780870).

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

106874153850 is a wasteful number, since it uses less digits than its factorization.

106874153850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27433 (or 27399 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 106874153850 in words is "one hundred six billion, eight hundred seventy-four million, one hundred fifty-three thousand, eight hundred fifty".