106699678507008 has 1120 divisors, whose sum is σ = 337281229992960. Its totient is φ = 33570104279040.

The previous prime is 106699678506979. The next prime is 106699678507031. The reversal of 106699678507008 is 800705876996601.

106699678507008 is a `hidden beast` number, since 106 + 6 + 9 + 9 + 6 + 7 + 8 + 507 + 0 + 0 + 8 = 666.

It is a super-2 number, since 2×106699678507008² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 222755069713 + ... + 222755070191.

Almost surely, 2^{106699678507008} is an apocalyptic number.

106699678507008 is a gapful number since it is divisible by the number (18) 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 106699678507008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168640614996480).

106699678507008 is an abundant number, since it is smaller than the sum of its proper divisors (230581551485952).

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

106699678507008 is an equidigital number, since it uses as much as digits as its factorization.

106699678507008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 106699678507008 in words is "one hundred six trillion, six hundred ninety-nine billion, six hundred seventy-eight million, five hundred seven thousand, eight".