106135616 has 28 divisors (see below), whose sum is σ = 219772992. Its totient is φ = 50759808.

The previous prime is 106135613. The next prime is 106135619. The reversal of 106135616 is 616531601.

It is an interprime number because it is at equal distance from previous prime (106135613) and next prime (106135619).

It is a super-2 number, since 2×106135616² = 22529537967398912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106135613) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34580 + ... + 37523.

Almost surely, 2^106135616 is an apocalyptic number.

106135616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106135616 is an abundant number, since it is smaller than the sum of its proper divisors (113637376).

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

106135616 is an equidigital number, since it uses as much as digits as its factorization.

106135616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72138 (or 72128 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 106135616 is about 10302.2141309526. The cubic root of 106135616 is about 473.4640931251.

The spelling of 106135616 in words is "one hundred six million, one hundred thirty-five thousand, six hundred sixteen".