105997815 has 144 divisors (see below), whose sum is σ = 241672704. Its totient is φ = 43623360.

The previous prime is 105997811. The next prime is 105997841. The reversal of 105997815 is 518799501.

It is not a de Polignac number, because 105997815 - 2² = 105997811 is a prime.

It is a super-2 number, since 2×105997815² = 22471073569548450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105997811) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1029054 + ... + 1029156.

Almost surely, 2^105997815 is an apocalyptic number.

105997815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105997815 is an abundant number, since it is smaller than the sum of its proper divisors (135674889).

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

105997815 is a wasteful number, since it uses less digits than its factorization.

105997815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 45.

The square root of 105997815 is about 10295.5240274597. The cubic root of 105997815 is about 473.2590972757.

The spelling of 105997815 in words is "one hundred five million, nine hundred ninety-seven thousand, eight hundred fifteen".