106692544 has 56 divisors (see below), whose sum is σ = 256214880. Its totient is φ = 43032576.

The previous prime is 106692539. The next prime is 106692583. The reversal of 106692544 is 445296601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×106692544² = 22766597890383872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612 + ... + 14620.

Almost surely, 2^106692544 is an apocalyptic number.

106692544 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 106692544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128107440).

106692544 is an abundant number, since it is smaller than the sum of its proper divisors (149522336).

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

106692544 is a wasteful number, since it uses less digits than its factorization.

106692544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14045 (or 14035 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 106692544 is about 10329.2082949275. The cubic root of 106692544 is about 474.2907887118.

The spelling of 106692544 in words is "one hundred six million, six hundred ninety-two thousand, five hundred forty-four".