106150891 has 48 divisors (see below), whose sum is σ = 145877760. Its totient is φ = 74805120.

The previous prime is 106150871. The next prime is 106150901. The reversal of 106150891 is 198051601.

106150891 = 294² + 295² + ... + 700².

It is not a de Polignac number, because 106150891 - 2¹¹ = 106148843 is a prime.

It is a super-2 number, since 2×106150891² = 22536023320187762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106150801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2002821 + ... + 2002873.

It is an arithmetic number, because the mean of its divisors is an integer number (3039120).

Almost surely, 2^106150891 is an apocalyptic number.

106150891 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106150891 is a deficient number, since it is larger than the sum of its proper divisors (39726869).

106150891 is a wasteful number, since it uses less digits than its factorization.

106150891 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 31.

The square root of 106150891 is about 10302.9554497727. The cubic root of 106150891 is about 473.4868056300.

The spelling of 106150891 in words is "one hundred six million, one hundred fifty thousand, eight hundred ninety-one".