106879395840 has 1152 divisors, whose sum is σ = 434263939200. Its totient is φ = 22295347200.

The previous prime is 106879395839. The next prime is 106879395841. The reversal of 106879395840 is 48593978601.

It is an interprime number because it is at equal distance from previous prime (106879395839) and next prime (106879395841).

It is a super-2 number, since 2×106879395840² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (106879395841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1058211790 + ... + 1058211890.

It is an arithmetic number, because the mean of its divisors is an integer number (376965225).

Almost surely, 2^106879395840 is an apocalyptic number.

106879395840 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 106879395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217131969600).

106879395840 is an abundant number, since it is smaller than the sum of its proper divisors (327384543360).

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

106879395840 is a wasteful number, since it uses less digits than its factorization.

106879395840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 106879395840 in words is "one hundred six billion, eight hundred seventy-nine million, three hundred ninety-five thousand, eight hundred forty".