106151560128 has 84 divisors (see below), whose sum is σ = 315533374520. Its totient is φ = 35383848192.

The previous prime is 106151560127. The next prime is 106151560139. The reversal of 106151560128 is 821065151601.

106151560128 is a `hidden beast` number, since 1 + 0 + 6 + 15 + 15 + 601 + 28 = 666.

It is a super-2 number, since 2×106151560128² (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 junction number, because it is equal to n+sod(n) for n = 106151560092 and 106151560101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106151560127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3397243 + ... + 3428346.

Almost surely, 2^106151560128 is an apocalyptic number.

106151560128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106151560128 is an abundant number, since it is smaller than the sum of its proper divisors (209381814392).

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

106151560128 is an frugal number, since it uses more digits than its factorization.

106151560128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825616 (or 6825594 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The spelling of 106151560128 in words is "one hundred six billion, one hundred fifty-one million, five hundred sixty thousand, one hundred twenty-eight".