106045612514310 has 128 divisors (see below), whose sum is σ = 303584409354240. Its totient is φ = 23179779697536.

The previous prime is 106045612514299. The next prime is 106045612514323. The reversal of 106045612514310 is 13415216540601.

It is a super-2 number, since 2×106045612514310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18427339 + ... + 23487401.

It is an arithmetic number, because the mean of its divisors is an integer number (2371753198080).

Almost surely, 2^{106045612514310} is an apocalyptic number.

106045612514310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106045612514310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151792204677120).

106045612514310 is an abundant number, since it is smaller than the sum of its proper divisors (197538796839930).

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

106045612514310 is a wasteful number, since it uses less digits than its factorization.

106045612514310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5064442.

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 106045612514310 in words is "one hundred six trillion, forty-five billion, six hundred twelve million, five hundred fourteen thousand, three hundred ten".