106484878172 has 24 divisors (see below), whose sum is σ = 187201487760. Its totient is φ = 52998837120.

The previous prime is 106484878169. The next prime is 106484878193. The reversal of 106484878172 is 271878484601.

It is a super-3 number, since 3×106484878172³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5964323 + ... + 5982149.

It is an arithmetic number, because the mean of its divisors is an integer number (7800061990).

Almost surely, 2^106484878172 is an apocalyptic number.

It is an amenable number.

106484878172 is a deficient number, since it is larger than the sum of its proper divisors (80716609588).

106484878172 is a wasteful number, since it uses less digits than its factorization.

106484878172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24581 (or 24579 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 56.

The spelling of 106484878172 in words is "one hundred six billion, four hundred eighty-four million, eight hundred seventy-eight thousand, one hundred seventy-two".