106849407 has 32 divisors (see below), whose sum is σ = 172177920. Its totient is φ = 57576960.

The previous prime is 106849399. The next prime is 106849409. The reversal of 106849407 is 704948601.

It is a happy number.

It is not a de Polignac number, because 106849407 - 2³ = 106849399 is a prime.

It is a super-2 number, since 2×106849407² = 22833591552503298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106849409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111643 + ... + 112595.

It is an arithmetic number, because the mean of its divisors is an integer number (5380560).

Almost surely, 2^106849407 is an apocalyptic number.

106849407 is a deficient number, since it is larger than the sum of its proper divisors (65328513).

106849407 is a wasteful number, since it uses less digits than its factorization.

106849407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263.

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 106849407 is about 10336.7986823774. The cubic root of 106849407 is about 474.5231143639.

The spelling of 106849407 in words is "one hundred six million, eight hundred forty-nine thousand, four hundred seven".