106240464 has 160 divisors (see below), whose sum is σ = 338073600. Its totient is φ = 31674240.

The previous prime is 106240451. The next prime is 106240499. The reversal of 106240464 is 464042601.

It is a super-2 number, since 2×106240464² = 22574072381870592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375267 + ... + 375549.

It is an arithmetic number, because the mean of its divisors is an integer number (2112960).

Almost surely, 2^106240464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106240464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169036800).

106240464 is an abundant number, since it is smaller than the sum of its proper divisors (231833136).

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

106240464 is a wasteful number, since it uses less digits than its factorization.

106240464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 106240464 is about 10307.3014897208. The cubic root of 106240464 is about 473.6199485221.

The spelling of 106240464 in words is "one hundred six million, two hundred forty thousand, four hundred sixty-four".