106657722600000 has 672 divisors, whose sum is σ = 414391273011072. Its totient is φ = 23867443200000.

The previous prime is 106657722599999. The next prime is 106657722600019. The reversal of 106657722600000 is 6227756601.

It is a super-2 number, since 2×106657722600000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85178452 + ... + 86421548.

It is an arithmetic number, because the mean of its divisors is an integer number (616653680076).

Almost surely, 2^{106657722600000} is an apocalyptic number.

106657722600000 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 106657722600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207195636505536).

106657722600000 is an abundant number, since it is smaller than the sum of its proper divisors (307733550411072).

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

106657722600000 is a wasteful number, since it uses less digits than its factorization.

106657722600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243161 (or 1243131 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 106657722600000 in words is "one hundred six trillion, six hundred fifty-seven billion, seven hundred twenty-two million, six hundred thousand".