106376313460 has 96 divisors (see below), whose sum is σ = 244752681600. Its totient is φ = 38681556480.

The previous prime is 106376313443. The next prime is 106376313469. The reversal of 106376313460 is 64313673601.

It is a super-2 number, since 2×106376313460² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106376313469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1766650 + ... + 1825870.

It is an arithmetic number, because the mean of its divisors is an integer number (2549507100).

Almost surely, 2^106376313460 is an apocalyptic number.

106376313460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106376313460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122376340800).

106376313460 is an abundant number, since it is smaller than the sum of its proper divisors (138376368140).

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

106376313460 is a wasteful number, since it uses less digits than its factorization.

106376313460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59441 (or 59439 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 106376313460 in words is "one hundred six billion, three hundred seventy-six million, three hundred thirteen thousand, four hundred sixty".