105461763 has 16 divisors (see below), whose sum is σ = 153783552. Its totient is φ = 63756000.

The previous prime is 105461743. The next prime is 105461771. The reversal of 105461763 is 367164501.

It is not a de Polignac number, because 105461763 - 2¹⁰ = 105460739 is a prime.

It is a super-2 number, since 2×105461763² = 22244366910136338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (105461743) 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, 10098 + ... + 17688.

It is an arithmetic number, because the mean of its divisors is an integer number (9611472).

Almost surely, 2^105461763 is an apocalyptic number.

105461763 is a deficient number, since it is larger than the sum of its proper divisors (48321789).

105461763 is a wasteful number, since it uses less digits than its factorization.

105461763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8026.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 105461763 is about 10269.4577753648. The cubic root of 105461763 is about 472.4599602140.

The spelling of 105461763 in words is "one hundred five million, four hundred sixty-one thousand, seven hundred sixty-three".