106010051 has 32 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 83462400.

The previous prime is 106009999. The next prime is 106010081. The reversal of 106010051 is 150010601.

It is not a de Polignac number, because 106010051 - 2¹⁰ = 106009027 is a prime.

It is a super-2 number, since 2×106010051² = 22476261826045202, which contains 22 as substring.

It is a cake number, because a cake can be divided into 106010051 parts by 860 planar cuts.

It is not an unprimeable number, because it can be changed into a prime (106010081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391046 + ... + 391316.

It is an arithmetic number, because the mean of its divisors is an integer number (4112640).

Almost surely, 2^106010051 is an apocalyptic number.

106010051 is a deficient number, since it is larger than the sum of its proper divisors (25594429).

106010051 is a wasteful number, since it uses less digits than its factorization.

106010051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 106010051 is about 10296.1182491267. The cubic root of 106010051 is about 473.2773070079.

Adding to 106010051 its reverse (150010601), we get a palindrome (256020652).

It can be divided in two parts, 1060 and 10051, that added together give a palindrome (11111).

The spelling of 106010051 in words is "one hundred six million, ten thousand, fifty-one".