10111682840 has 64 divisors (see below), whose sum is σ = 26011056960. Its totient is φ = 3465584640.

The previous prime is 10111682821. The next prime is 10111682843. The reversal of 10111682840 is 4828611101.

It is a happy number.

It is a super-2 number, since 2×10111682840² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111682797 and 10111682806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111682843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057280 + ... + 1066800.

It is an arithmetic number, because the mean of its divisors is an integer number (406422765).

Almost surely, 2^10111682840 is an apocalyptic number.

10111682840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111682840 is an abundant number, since it is smaller than the sum of its proper divisors (15899374120).

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

10111682840 is a wasteful number, since it uses less digits than its factorization.

10111682840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13332 (or 13328 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 32.

The spelling of 10111682840 in words is "ten billion, one hundred eleven million, six hundred eighty-two thousand, eight hundred forty".