105978522 has 64 divisors (see below), whose sum is σ = 241597440. Its totient is φ = 30758400.

The previous prime is 105978497. The next prime is 105978529. The reversal of 105978522 is 225879501.

It is a super-2 number, since 2×105978522² = 22462894250608968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105978529) 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, 98604 + ... + 99672.

It is an arithmetic number, because the mean of its divisors is an integer number (3774960).

Almost surely, 2^105978522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105978522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120798720).

105978522 is an abundant number, since it is smaller than the sum of its proper divisors (135618918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105978522 is a wasteful number, since it uses less digits than its factorization.

105978522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159.

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 105978522 is about 10294.5870242570. The cubic root of 105978522 is about 473.2303824014.

The spelling of 105978522 in words is "one hundred five million, nine hundred seventy-eight thousand, five hundred twenty-two".