106818926592 has 384 divisors, whose sum is σ = 351952473600. Its totient is φ = 28123987968.

The previous prime is 106818926581. The next prime is 106818926603. The reversal of 106818926592 is 295629818601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106818926581) and next prime (106818926603).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×106818926592² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30232858 + ... + 30236390.

It is an arithmetic number, because the mean of its divisors is an integer number (916542900).

Almost surely, 2^106818926592 is an apocalyptic number.

106818926592 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 106818926592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175976236800).

106818926592 is an abundant number, since it is smaller than the sum of its proper divisors (245133547008).

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

106818926592 is a wasteful number, since it uses less digits than its factorization.

106818926592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3621 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 57.

The spelling of 106818926592 in words is "one hundred six billion, eight hundred eighteen million, nine hundred twenty-six thousand, five hundred ninety-two".