106342524 has 96 divisors (see below), whose sum is σ = 297185280. Its totient is φ = 32788800.

The previous prime is 106342513. The next prime is 106342543. The reversal of 106342524 is 425243601.

106342524 is a `hidden beast` number, since 1 + 0 + 634 + 2 + 5 + 24 = 666.

It is a super-2 number, since 2×106342524² = 22617464821381152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 76314 + ... + 77694.

It is an arithmetic number, because the mean of its divisors is an integer number (3095680).

Almost surely, 2^106342524 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 106342524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148592640).

106342524 is an abundant number, since it is smaller than the sum of its proper divisors (190842756).

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

106342524 is a wasteful number, since it uses less digits than its factorization.

106342524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 106342524 is about 10312.2511606341. The cubic root of 106342524 is about 473.7715611307.

The spelling of 106342524 in words is "one hundred six million, three hundred forty-two thousand, five hundred twenty-four".