106415736 has 32 divisors (see below), whose sum is σ = 304045440. Its totient is φ = 30404448.

The previous prime is 106415731. The next prime is 106415741. The reversal of 106415736 is 637514601.

It is an interprime number because it is at equal distance from previous prime (106415731) and next prime (106415741).

It is a super-2 number, since 2×106415736² = 22648617736843392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106415697 and 106415706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106415731) 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, 316546 + ... + 316881.

It is an arithmetic number, because the mean of its divisors is an integer number (9501420).

Almost surely, 2^106415736 is an apocalyptic number.

It is an amenable number.

106415736 is an abundant number, since it is smaller than the sum of its proper divisors (197629704).

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

106415736 is a wasteful number, since it uses less digits than its factorization.

106415736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633443 (or 633439 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 106415736 is about 10315.8003082650. The cubic root of 106415736 is about 473.8802595937.

The spelling of 106415736 in words is "one hundred six million, four hundred fifteen thousand, seven hundred thirty-six".