106372749 has 32 divisors (see below), whose sum is σ = 170532864. Its totient is φ = 57695040.

The previous prime is 106372729. The next prime is 106372759. The reversal of 106372749 is 947273601.

It is not a de Polignac number, because 106372749 - 2¹¹ = 106370701 is a prime.

It is a super-2 number, since 2×106372749² = 22630323459634002, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106372729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32962 + ... + 36044.

It is an arithmetic number, because the mean of its divisors is an integer number (5329152).

Almost surely, 2^106372749 is an apocalyptic number.

It is an amenable number.

106372749 is a deficient number, since it is larger than the sum of its proper divisors (64160115).

106372749 is a wasteful number, since it uses less digits than its factorization.

106372749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177.

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 106372749 is about 10313.7165464250. The cubic root of 106372749 is about 473.8164424834.

The spelling of 106372749 in words is "one hundred six million, three hundred seventy-two thousand, seven hundred forty-nine".