106116811776 has 220 divisors, whose sum is σ = 324265875912. Its totient is φ = 34548498432.

The previous prime is 106116811763. The next prime is 106116811789. The reversal of 106116811776 is 677118611601.

106116811776 is a `hidden beast` number, since 10 + 611 + 6 + 8 + 1 + 17 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (106116811763) and next prime (106116811789).

It is a super-2 number, since 2×106116811776² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3551716 + ... + 3581468.

Almost surely, 2^106116811776 is an apocalyptic number.

106116811776 is a gapful number since it is divisible by the number (16) 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 106116811776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162132937956).

106116811776 is an abundant number, since it is smaller than the sum of its proper divisors (218149064136).

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

106116811776 is an equidigital number, since it uses as much as digits as its factorization.

106116811776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29828 (or 29801 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 106116811776 in words is "one hundred six billion, one hundred sixteen million, eight hundred eleven thousand, seven hundred seventy-six".