106849512 has 96 divisors (see below), whose sum is σ = 360809280. Its totient is φ = 27751680.

The previous prime is 106849511. The next prime is 106849541. The reversal of 106849512 is 215948601.

It is a super-2 number, since 2×106849512² = 22833636429276288, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106849511) 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, 4093 + ... + 15180.

It is an arithmetic number, because the mean of its divisors is an integer number (3758430).

Almost surely, 2^106849512 is an apocalyptic number.

106849512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106849512 is an abundant number, since it is smaller than the sum of its proper divisors (253959768).

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

106849512 is a wasteful number, since it uses less digits than its factorization.

106849512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19303 (or 19296 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 106849512 is about 10336.8037613181. The cubic root of 106849512 is about 474.5232698005.

The spelling of 106849512 in words is "one hundred six million, eight hundred forty-nine thousand, five hundred twelve".