106129375655760 has 320 divisors, whose sum is σ = 381012497448960. Its totient is φ = 27122319106560.

The previous prime is 106129375655711. The next prime is 106129375655783. The reversal of 106129375655760 is 67556573921601.

106129375655760 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 2 + 9 + 3 + 7 + 56 + 5 + 576 + 0 = 666.

It is a super-2 number, since 2×106129375655760² (a number of 29 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 63 ways as a sum of consecutive naturals, for example, 797134 + ... + 14590893.

It is an arithmetic number, because the mean of its divisors is an integer number (1190664054528).

Almost surely, 2^{106129375655760} is an apocalyptic number.

106129375655760 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 106129375655760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190506248724480).

106129375655760 is an abundant number, since it is smaller than the sum of its proper divisors (274883121793200).

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

106129375655760 is a wasteful number, since it uses less digits than its factorization.

106129375655760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15388183 (or 15388171 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 106129375655760 in words is "one hundred six trillion, one hundred twenty-nine billion, three hundred seventy-five million, six hundred fifty-five thousand, seven hundred sixty".