106016715 has 64 divisors (see below), whose sum is σ = 220492800. Its totient is φ = 47319552.

The previous prime is 106016707. The next prime is 106016717. The reversal of 106016715 is 517610601.

It is not a de Polignac number, because 106016715 - 2³ = 106016707 is a prime.

It is a super-2 number, since 2×106016715² = 22479087718782450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106016717) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39331 + ... + 41939.

It is an arithmetic number, because the mean of its divisors is an integer number (3445200).

Almost surely, 2^106016715 is an apocalyptic number.

106016715 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106016715 is an abundant number, since it is smaller than the sum of its proper divisors (114476085).

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

106016715 is a wasteful number, since it uses less digits than its factorization.

106016715 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 106016715 is about 10296.4418611480. The cubic root of 106016715 is about 473.2872238472.

The spelling of 106016715 in words is "one hundred six million, sixteen thousand, seven hundred fifteen".