106639110144 has 1040 divisors, whose sum is σ = 401328595008. Its totient is φ = 27518828544.

The previous prime is 106639110133. The next prime is 106639110203. The reversal of 106639110144 is 441011936601.

106639110144 is a `hidden beast` number, since 1 + 0 + 6 + 639 + 1 + 1 + 0 + 14 + 4 = 666.

It is a super-2 number, since 2×106639110144² (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 = 106639110099 and 106639110108.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1460809692 + ... + 1460809764.

Almost surely, 2^106639110144 is an apocalyptic number.

106639110144 is a gapful number since it is divisible by the number (14) 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 106639110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200664297504).

106639110144 is an abundant number, since it is smaller than the sum of its proper divisors (294689484864).

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

106639110144 is an equidigital number, since it uses as much as digits as its factorization.

106639110144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 106639110144 in words is "one hundred six billion, six hundred thirty-nine million, one hundred ten thousand, one hundred forty-four".