106116155652 has 48 divisors (see below), whose sum is σ = 266718264512. Its totient is φ = 32642870400.

The previous prime is 106116155627. The next prime is 106116155671. The reversal of 106116155652 is 256551611601.

It is a super-2 number, since 2×106116155652² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 106116155652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547998 + ... + 715914.

Almost surely, 2^106116155652 is an apocalyptic number.

106116155652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106116155652 is an abundant number, since it is smaller than the sum of its proper divisors (160602108860).

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

106116155652 is a wasteful number, since it uses less digits than its factorization.

106116155652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171988 (or 171986 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 106116155652 in words is "one hundred six billion, one hundred sixteen million, one hundred fifty-five thousand, six hundred fifty-two".