10607835150 has 144 divisors (see below), whose sum is σ = 31136721408. Its totient is φ = 2567784000.

The previous prime is 10607835137. The next prime is 10607835181. The reversal of 10607835150 is 5153870601.

10607835150 is a `hidden beast` number, since 1 + 0 + 60 + 7 + 83 + 515 + 0 = 666.

It is a super-2 number, since 2×10607835150² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 4805347 + ... + 4807553.

It is an arithmetic number, because the mean of its divisors is an integer number (216227232).

Almost surely, 2^10607835150 is an apocalyptic number.

10607835150 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 10607835150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568360704).

10607835150 is an abundant number, since it is smaller than the sum of its proper divisors (20528886258).

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

10607835150 is a wasteful number, since it uses less digits than its factorization.

10607835150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3207 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 10607835150 in words is "ten billion, six hundred seven million, eight hundred thirty-five thousand, one hundred fifty".