106710045120 has 672 divisors, whose sum is σ = 439122677760. Its totient is φ = 23270768640.

The previous prime is 106710045103. The next prime is 106710045131. The reversal of 106710045120 is 21540017601.

It is a happy number.

106710045120 is a `hidden beast` number, since 106 + 7 + 100 + 451 + 2 + 0 = 666.

106710045120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×106710045120² (a number of 23 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 95 ways as a sum of consecutive naturals, for example, 45620911 + ... + 45623249.

Almost surely, 2^106710045120 is an apocalyptic number.

106710045120 is a gapful number since it is divisible by the number (10) 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 106710045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219561338880).

106710045120 is an abundant number, since it is smaller than the sum of its proper divisors (332412632640).

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

106710045120 is a wasteful number, since it uses less digits than its factorization.

106710045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2473 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 106710045120 in words is "one hundred six billion, seven hundred ten million, forty-five thousand, one hundred twenty".