10842680170 has 128 divisors (see below), whose sum is σ = 23354496000. Its totient is φ = 3547348992.

The previous prime is 10842680159. The next prime is 10842680203. The reversal of 10842680170 is 7108624801.

10842680170 is a nontrivial binomial coefficient, being equal to C(147260, 2).

It is a super-2 number, since 2×10842680170² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54485731 + ... + 54485929.

It is an arithmetic number, because the mean of its divisors is an integer number (182457000).

Almost surely, 2^10842680170 is an apocalyptic number.

10842680170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10842680170 is the 147259-th triangular number and also the 73630-th hexagonal number.

10842680170 is the 49087-th centered nonagonal number.

10842680170 is an abundant number, since it is smaller than the sum of its proper divisors (12511815830).

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

10842680170 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (10842680169) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (552).

10842680170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552.

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 10842680170 in words is "ten billion, eight hundred forty-two million, six hundred eighty thousand, one hundred seventy".