106876714050 has 72 divisors (see below), whose sum is σ = 287491998144. Its totient is φ = 28465728480.

The previous prime is 106876714039. The next prime is 106876714069. The reversal of 106876714050 is 50417678601.

106876714050 is a `hidden beast` number, since 106 + 8 + 76 + 71 + 405 + 0 = 666.

It is a super-2 number, since 2×106876714050² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 106876713987 and 106876714005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226059 + ... + 514641.

Almost surely, 2^106876714050 is an apocalyptic number.

106876714050 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 106876714050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143745999072).

106876714050 is an abundant number, since it is smaller than the sum of its proper divisors (180615284094).

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

106876714050 is a wasteful number, since it uses less digits than its factorization.

106876714050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289424 (or 289416 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 106876714050 in words is "one hundred six billion, eight hundred seventy-six million, seven hundred fourteen thousand, fifty".