105977652 has 96 divisors (see below), whose sum is σ = 286239744. Its totient is φ = 30201600.

The previous prime is 105977633. The next prime is 105977659. The reversal of 105977652 is 256779501.

It is a super-2 number, since 2×105977652² = 22462525446866208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105977659) 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, 203152 + ... + 203672.

It is an arithmetic number, because the mean of its divisors is an integer number (2981664).

Almost surely, 2^105977652 is an apocalyptic number.

105977652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105977652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143119872).

105977652 is an abundant number, since it is smaller than the sum of its proper divisors (180262092).

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

105977652 is a wasteful number, since it uses less digits than its factorization.

105977652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The square root of 105977652 is about 10294.5447689541. The cubic root of 105977652 is about 473.2290874486.

The spelling of 105977652 in words is "one hundred five million, nine hundred seventy-seven thousand, six hundred fifty-two".