105542151 has 32 divisors (see below), whose sum is σ = 166483968. Its totient is φ = 58631040.

The previous prime is 105542149. The next prime is 105542179. The reversal of 105542151 is 151245501.

It is not a de Polignac number, because 105542151 - 2¹ = 105542149 is a prime.

It is a super-2 number, since 2×105542151² = 22278291275413602, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105542191) 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, 66570 + ... + 68136.

It is an arithmetic number, because the mean of its divisors is an integer number (5202624).

Almost surely, 2^105542151 is an apocalyptic number.

105542151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105542151 is a deficient number, since it is larger than the sum of its proper divisors (60941817).

105542151 is a wasteful number, since it uses less digits than its factorization.

105542151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751.

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 105542151 is about 10273.3709657541. The cubic root of 105542151 is about 472.5799735856.

Adding to 105542151 its reverse (151245501), we get a palindrome (256787652).

The spelling of 105542151 in words is "one hundred five million, five hundred forty-two thousand, one hundred fifty-one".