107464 has 32 divisors (see below), whose sum is σ = 244800. Its totient is φ = 43200.

The previous prime is 107453. The next prime is 107467. The reversal of 107464 is 464701.

It is a super-2 number, since 2×107464² = 23097022592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107467) by changing a digit.

107464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1014 + ... + 1114.

It is an arithmetic number, because the mean of its divisors is an integer number (7650).

2¹⁰⁷⁴⁶⁴ is an apocalyptic number.

107464 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 107464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122400).

107464 is an abundant number, since it is smaller than the sum of its proper divisors (137336).

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

107464 is a wasteful number, since it uses less digits than its factorization.

107464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 107464 is about 327.8170221328. The cubic root of 107464 is about 47.5431187413.

The spelling of 107464 in words is "one hundred seven thousand, four hundred sixty-four".