106884431745 has 128 divisors (see below), whose sum is σ = 217562677248. Its totient is φ = 43589145600.

The previous prime is 106884431741. The next prime is 106884431749. The reversal of 106884431745 is 547134488601.

It is an interprime number because it is at equal distance from previous prime (106884431741) and next prime (106884431749).

It is not a de Polignac number, because 106884431745 - 2² = 106884431741 is a prime.

It is a super-2 number, since 2×106884431745² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106884431741) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46249140 + ... + 46251450.

It is an arithmetic number, because the mean of its divisors is an integer number (1699708416).

Almost surely, 2^106884431745 is an apocalyptic number.

106884431745 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106884431745 is an abundant number, since it is smaller than the sum of its proper divisors (110678245503).

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

106884431745 is a wasteful number, since it uses less digits than its factorization.

106884431745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463.

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 106884431745 in words is "one hundred six billion, eight hundred eighty-four million, four hundred thirty-one thousand, seven hundred forty-five".