105778772 has 24 divisors (see below), whose sum is σ = 202212192. Its totient is φ = 48016800.

The previous prime is 105778763. The next prime is 105778781. The reversal of 105778772 is 277877501.

It is an interprime number because it is at equal distance from previous prime (105778763) and next prime (105778781).

It is a super-2 number, since 2×105778772² = 22378297211655968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50498 + ... + 52550.

It is an arithmetic number, because the mean of its divisors is an integer number (8425508).

Almost surely, 2^105778772 is an apocalyptic number.

105778772 is the 5498-th centered heptagonal number.

It is an amenable number.

105778772 is a deficient number, since it is larger than the sum of its proper divisors (96433420).

105778772 is a wasteful number, since it uses less digits than its factorization.

105778772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3239 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 192080, while the sum is 44.

The square root of 105778772 is about 10284.8807479718. The cubic root of 105778772 is about 472.9328780313.

It can be divided in two parts, 105 and 778772, that added together give a palindrome (778877).

The spelling of 105778772 in words is "one hundred five million, seven hundred seventy-eight thousand, seven hundred seventy-two".