106458528 has 96 divisors (see below), whose sum is σ = 309258432. Its totient is φ = 31795200.

The previous prime is 106458493. The next prime is 106458533. The reversal of 106458528 is 825854601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106458528² = 22666836367853568, 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, 76398 + ... + 77778.

It is an arithmetic number, because the mean of its divisors is an integer number (3221442).

Almost surely, 2^106458528 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 106458528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154629216).

106458528 is an abundant number, since it is smaller than the sum of its proper divisors (202799904).

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

106458528 is a wasteful number, since it uses less digits than its factorization.

106458528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 106458528 is about 10317.8741996595. The cubic root of 106458528 is about 473.9437701462.

The spelling of 106458528 in words is "one hundred six million, four hundred fifty-eight thousand, five hundred twenty-eight".