106493680 has 80 divisors (see below), whose sum is σ = 266840064. Its totient is φ = 39409920.

The previous prime is 106493677. The next prime is 106493683. The reversal of 106493680 is 86394601.

It is an interprime number because it is at equal distance from previous prime (106493677) and next prime (106493683).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106493680² = 22681807759884800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106493683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56107 + ... + 57973.

Almost surely, 2^106493680 is an apocalyptic number.

106493680 is a gapful number since it is divisible by the number (10) 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 106493680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133420032).

106493680 is an abundant number, since it is smaller than the sum of its proper divisors (160346384).

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

106493680 is a wasteful number, since it uses less digits than its factorization.

106493680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 106493680 is about 10319.5775107317. The cubic root of 106493680 is about 473.9959289175.

The spelling of 106493680 in words is "one hundred six million, four hundred ninety-three thousand, six hundred eighty".