106816102380 has 384 divisors, whose sum is σ = 381411797760. Its totient is φ = 24584601600.

The previous prime is 106816102373. The next prime is 106816102391. The reversal of 106816102380 is 83201618601.

106816102380 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 1 + 610 + 2 + 38 + 0 = 666.

It is a super-2 number, since 2×106816102380² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 18733530 + ... + 18739230.

It is an arithmetic number, because the mean of its divisors is an integer number (993259890).

Almost surely, 2^106816102380 is an apocalyptic number.

106816102380 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 106816102380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190705898880).

106816102380 is an abundant number, since it is smaller than the sum of its proper divisors (274595695380).

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

106816102380 is a wasteful number, since it uses less digits than its factorization.

106816102380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 106816102380 in words is "one hundred six billion, eight hundred sixteen million, one hundred two thousand, three hundred eighty".