106234012864 has 56 divisors (see below), whose sum is σ = 241242596000. Its totient is φ = 45468573696.

The previous prime is 106234012847. The next prime is 106234012883. The reversal of 106234012864 is 468210432601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×106234012864² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182512 + ... + 495760.

It is an arithmetic number, because the mean of its divisors is an integer number (4307903500).

Almost surely, 2^106234012864 is an apocalyptic number.

106234012864 is a gapful number since it is divisible by the number (14) 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 106234012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120621298000).

106234012864 is an abundant number, since it is smaller than the sum of its proper divisors (135008583136).

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

106234012864 is an equidigital number, since it uses as much as digits as its factorization.

106234012864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314025 (or 314015 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 106234012864 in words is "one hundred six billion, two hundred thirty-four million, twelve thousand, eight hundred sixty-four".