106102113444 has 72 divisors (see below), whose sum is σ = 272851068672. Its totient is φ = 34757573760.

The previous prime is 106102113427. The next prime is 106102113461. The reversal of 106102113444 is 444311201601.

106102113444 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 211 + 3 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (106102113427) and next prime (106102113461).

It is a super-2 number, since 2×106102113444² (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 23 ways as a sum of consecutive naturals, for example, 733717 + ... + 866339.

It is an arithmetic number, because the mean of its divisors is an integer number (3789598176).

Almost surely, 2^106102113444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106102113444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136425534336).

106102113444 is an abundant number, since it is smaller than the sum of its proper divisors (166748955228).

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

106102113444 is a wasteful number, since it uses less digits than its factorization.

106102113444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133017 (or 133012 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 106102113444 in words is "one hundred six billion, one hundred two million, one hundred thirteen thousand, four hundred forty-four".