106557154320 has 80 divisors (see below), whose sum is σ = 347712834240. Its totient is φ = 26919700992.

The previous prime is 106557154309. The next prime is 106557154343. The reversal of 106557154320 is 23451755601.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×106557154320³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11679339 + ... + 11688458.

It is an arithmetic number, because the mean of its divisors is an integer number (4346410428).

Almost surely, 2^106557154320 is an apocalyptic number.

106557154320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106557154320 is an abundant number, since it is smaller than the sum of its proper divisors (241155679920).

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

106557154320 is a wasteful number, since it uses less digits than its factorization.

106557154320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23367832 (or 23367826 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 106557154320 in words is "one hundred six billion, five hundred fifty-seven million, one hundred fifty-four thousand, three hundred twenty".