106151559120 has 120 divisors (see below), whose sum is σ = 377462499336. Its totient is φ = 26641956864.

The previous prime is 106151559119. The next prime is 106151559127. The reversal of 106151559120 is 21955151601.

106151559120 is a `hidden beast` number, since 1 + 0 + 61 + 5 + 1 + 5 + 591 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10068918336 + 96082640784 = 100344^2 + 309972^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×106151559120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106151559127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4324017 + ... + 4348496.

Almost surely, 2^106151559120 is an apocalyptic number.

106151559120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106151559120 is an abundant number, since it is smaller than the sum of its proper divisors (271310940216).

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

106151559120 is a wasteful number, since it uses less digits than its factorization.

106151559120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8672549 (or 8672540 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 36.

The spelling of 106151559120 in words is "one hundred six billion, one hundred fifty-one million, five hundred fifty-nine thousand, one hundred twenty".