106315392 has 64 divisors (see below), whose sum is σ = 292168800. Its totient is φ = 34212864.

The previous prime is 106315387. The next prime is 106315397. The reversal of 106315392 is 293513601.

It is an interprime number because it is at equal distance from previous prime (106315387) and next prime (106315397).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106315392² = 22605925152227328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106315397) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6363 + ... + 15909.

Almost surely, 2^106315392 is an apocalyptic number.

106315392 is a gapful number since it is divisible by the number (12) 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 106315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146084400).

106315392 is an abundant number, since it is smaller than the sum of its proper divisors (185853408).

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

106315392 is an equidigital number, since it uses as much as digits as its factorization.

106315392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9593 (or 9581 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 106315392 is about 10310.9355540610. The cubic root of 106315392 is about 473.7312653554.

Adding to 106315392 its reverse (293513601), we get a palindrome (399828993).

The spelling of 106315392 in words is "one hundred six million, three hundred fifteen thousand, three hundred ninety-two".