105499641 has 16 divisors (see below), whose sum is σ = 151700864. Its totient is φ = 64831104.

The previous prime is 105499573. The next prime is 105499657. The reversal of 105499641 is 146994501.

It is not a de Polignac number, because 105499641 - 2¹¹ = 105497593 is a prime.

It is a super-2 number, since 2×105499641² = 22260348502257762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105499641.

It is not an unprimeable number, because it can be changed into a prime (105499661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35100 + ... + 37986.

It is an arithmetic number, because the mean of its divisors is an integer number (9481304).

Almost surely, 2^105499641 is an apocalyptic number.

It is an amenable number.

105499641 is a deficient number, since it is larger than the sum of its proper divisors (46201223).

105499641 is a wasteful number, since it uses less digits than its factorization.

105499641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840.

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 105499641 is about 10271.3018162256. The cubic root of 105499641 is about 472.5165168773.

The spelling of 105499641 in words is "one hundred five million, four hundred ninety-nine thousand, six hundred forty-one".