106515351 has 8 divisors (see below), whose sum is σ = 157800560. Its totient is φ = 71010216.

The previous prime is 106515337. The next prime is 106515361. The reversal of 106515351 is 153515601.

106515351 is a `hidden beast` number, since 1 + 0 + 651 + 5 + 3 + 5 + 1 = 666.

It is not a de Polignac number, because 106515351 - 2⁷ = 106515223 is a prime.

It is a super-2 number, since 2×106515351² = 22691039997306402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3945013 = 106515351 / (1 + 0 + 6 + 5 + 1 + 5 + 3 + 5 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106515361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1972480 + ... + 1972533.

It is an arithmetic number, because the mean of its divisors is an integer number (19725070).

Almost surely, 2^106515351 is an apocalyptic number.

106515351 is a deficient number, since it is larger than the sum of its proper divisors (51285209).

106515351 is an equidigital number, since it uses as much as digits as its factorization.

106515351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3945022 (or 3945016 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 106515351 is about 10320.6274518558. The cubic root of 106515351 is about 474.0280787725.

The spelling of 106515351 in words is "one hundred six million, five hundred fifteen thousand, three hundred fifty-one".