106151265 has 48 divisors (see below), whose sum is σ = 202378176. Its totient is φ = 51043200.

The previous prime is 106151191. The next prime is 106151291. The reversal of 106151265 is 562151601.

It is a happy number.

It is not a de Polignac number, because 106151265 - 2⁷ = 106151137 is a prime.

It is a super-2 number, since 2×106151265² = 22536182122200450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64027 + ... + 65663.

It is an arithmetic number, because the mean of its divisors is an integer number (4216212).

Almost surely, 2^106151265 is an apocalyptic number.

106151265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106151265 is a deficient number, since it is larger than the sum of its proper divisors (96226911).

106151265 is a wasteful number, since it uses less digits than its factorization.

106151265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 106151265 is about 10302.9735998885. The cubic root of 106151265 is about 473.4873617059.

It can be divided in two parts, 1061 and 51265, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 106151265 in words is "one hundred six million, one hundred fifty-one thousand, two hundred sixty-five".