106629104160 has 384 divisors, whose sum is σ = 384228956160. Its totient is φ = 27598123008.

The previous prime is 106629104143. The next prime is 106629104177. The reversal of 106629104160 is 61401926601.

106629104160 is a `hidden beast` number, since 1 + 0 + 6 + 629 + 10 + 4 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106629104143) and next prime (106629104177).

It is a super-2 number, since 2×106629104160² (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 63 ways as a sum of consecutive naturals, for example, 123555889 + ... + 123556751.

It is an arithmetic number, because the mean of its divisors is an integer number (1000596240).

Almost surely, 2^106629104160 is an apocalyptic number.

106629104160 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 106629104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192114478080).

106629104160 is an abundant number, since it is smaller than the sum of its proper divisors (277599852000).

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

106629104160 is a wasteful number, since it uses less digits than its factorization.

106629104160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1683 counting only the distinct ones).

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

The spelling of 106629104160 in words is "one hundred six billion, six hundred twenty-nine million, one hundred four thousand, one hundred sixty".