106826641152 has 288 divisors, whose sum is σ = 357743823360. Its totient is φ = 27490959360.

The previous prime is 106826641147. The next prime is 106826641177. The reversal of 106826641152 is 251146628601.

It is a super-2 number, since 2×106826641152² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6437538 + ... + 6454110.

Almost surely, 2^106826641152 is an apocalyptic number.

106826641152 is a gapful number since it is divisible by the number (12) 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 106826641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178871911680).

106826641152 is an abundant number, since it is smaller than the sum of its proper divisors (250917182208).

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

106826641152 is a wasteful number, since it uses less digits than its factorization.

106826641152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16719 (or 16705 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 106826641152 in words is "one hundred six billion, eight hundred twenty-six million, six hundred forty-one thousand, one hundred fifty-two".