106099626648960 has 1152 divisors, whose sum is σ = 431914342728960. Its totient is φ = 23927397580800.

The previous prime is 106099626648941. The next prime is 106099626648979. The reversal of 106099626648960 is 69846626990601.

106099626648960 is a `hidden beast` number, since 1 + 0 + 60 + 9 + 9 + 6 + 26 + 6 + 489 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (106099626648941) and next prime (106099626648979).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×106099626648960² (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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8352321969 + ... + 8352334671.

It is an arithmetic number, because the mean of its divisors is an integer number (374925644730).

Almost surely, 2^{106099626648960} is an apocalyptic number.

106099626648960 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 106099626648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215957171364480).

106099626648960 is an abundant number, since it is smaller than the sum of its proper divisors (325814716080000).

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

106099626648960 is a wasteful number, since it uses less digits than its factorization.

106099626648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136 (or 13114 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 106099626648960 in words is "one hundred six trillion, ninety-nine billion, six hundred twenty-six million, six hundred forty-eight thousand, nine hundred sixty".