106155600264 has 96 divisors (see below), whose sum is σ = 345870408000. Its totient is φ = 28733844096.

The previous prime is 106155600251. The next prime is 106155600269. The reversal of 106155600264 is 462006551601.

106155600264 is a `hidden beast` number, since 10 + 6 + 15 + 5 + 600 + 26 + 4 = 666.

It is a super-3 number, since 3×106155600264³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (106155600269) 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, 5533219 + ... + 5552370.

It is an arithmetic number, because the mean of its divisors is an integer number (3602816750).

Almost surely, 2^106155600264 is an apocalyptic number.

106155600264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106155600264 is an abundant number, since it is smaller than the sum of its proper divisors (239714807736).

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

106155600264 is a wasteful number, since it uses less digits than its factorization.

106155600264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11085627 (or 11085620 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 106155600264 in words is "one hundred six billion, one hundred fifty-five million, six hundred thousand, two hundred sixty-four".