106634251520 has 72 divisors (see below), whose sum is σ = 257372549280. Its totient is φ = 42328033280.

The previous prime is 106634251501. The next prime is 106634251579. The reversal of 106634251520 is 25152436601.

106634251520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106634251520² (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 7 ways as a sum of consecutive naturals, for example, 150290 + ... + 485649.

It is an arithmetic number, because the mean of its divisors is an integer number (3574618740).

Almost surely, 2^106634251520 is an apocalyptic number.

106634251520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106634251520 is an abundant number, since it is smaller than the sum of its proper divisors (150738297760).

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

106634251520 is an equidigital number, since it uses as much as digits as its factorization.

106634251520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636091 (or 636077 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 106634251520 in words is "one hundred six billion, six hundred thirty-four million, two hundred fifty-one thousand, five hundred twenty".