106382163810 has 256 divisors, whose sum is σ = 291372318720. Its totient is φ = 24661739520.

The previous prime is 106382163809. The next prime is 106382163821. The reversal of 106382163810 is 18361283601.

It is a super-2 number, since 2×106382163810² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 260102886 + ... + 260103294.

It is an arithmetic number, because the mean of its divisors is an integer number (1138173120).

Almost surely, 2^106382163810 is an apocalyptic number.

106382163810 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 106382163810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145686159360).

106382163810 is an abundant number, since it is smaller than the sum of its proper divisors (184990154910).

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

106382163810 is a wasteful number, since it uses less digits than its factorization.

106382163810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833.

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 106382163810 in words is "one hundred six billion, three hundred eighty-two million, one hundred sixty-three thousand, eight hundred ten".