109314213102 has 96 divisors (see below), whose sum is σ = 252452318976. Its totient is φ = 34112707200.

The previous prime is 109314213097. The next prime is 109314213131. The reversal of 109314213102 is 201312413901.

109314213102 is a `hidden beast` number, since 10 + 9 + 314 + 21 + 310 + 2 = 666.

It is a super-2 number, since 2×109314213102² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3945277 + ... + 3972887.

It is an arithmetic number, because the mean of its divisors is an integer number (2629711656).

Almost surely, 2^109314213102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109314213102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126226159488).

109314213102 is an abundant number, since it is smaller than the sum of its proper divisors (143138105874).

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

109314213102 is a wasteful number, since it uses less digits than its factorization.

109314213102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27846 (or 27843 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 109314213102 its sum of digits (27), we get a square (109314213129 = 330627²).

The spelling of 109314213102 in words is "one hundred nine billion, three hundred fourteen million, two hundred thirteen thousand, one hundred two".