106816130640 has 240 divisors, whose sum is σ = 363094617600. Its totient is φ = 28139424768.

The previous prime is 106816130611. The next prime is 106816130671. The reversal of 106816130640 is 46031618601.

106816130640 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 1 + 6 + 1 + 3 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×106816130640² (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 a junction number, because it is equal to n+sod(n) for n = 106816130595 and 106816130604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20231521 + ... + 20236799.

It is an arithmetic number, because the mean of its divisors is an integer number (1512894240).

Almost surely, 2^106816130640 is an apocalyptic number.

106816130640 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 106816130640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181547308800).

106816130640 is an abundant number, since it is smaller than the sum of its proper divisors (256278486960).

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

106816130640 is a wasteful number, since it uses less digits than its factorization.

106816130640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5634 (or 5625 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 106816130640 in words is "one hundred six billion, eight hundred sixteen million, one hundred thirty thousand, six hundred forty".