105202664 has 64 divisors (see below), whose sum is σ = 242870400. Its totient is φ = 41693184.

The previous prime is 105202649. The next prime is 105202733. The reversal of 105202664 is 466202501.

It is a super-2 number, since 2×105202664² = 22135201025393792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55232 + ... + 57104.

It is an arithmetic number, because the mean of its divisors is an integer number (3794850).

Almost surely, 2^105202664 is an apocalyptic number.

105202664 is a gapful number since it is divisible by the number (14) 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 105202664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121435200).

105202664 is an abundant number, since it is smaller than the sum of its proper divisors (137667736).

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

105202664 is a wasteful number, since it uses less digits than its factorization.

105202664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 105202664 is about 10256.8349894107. The cubic root of 105202664 is about 472.0727289059.

The spelling of 105202664 in words is "one hundred five million, two hundred two thousand, six hundred sixty-four".