106416390 has 16 divisors (see below), whose sum is σ = 255399408. Its totient is φ = 28377696.

The previous prime is 106416371. The next prime is 106416419. The reversal of 106416390 is 93614601.

It is a super-2 number, since 2×106416390² = 22648896121264200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 3547213 = 106416390 / (1 + 0 + 6 + 4 + 1 + 6 + 3 + 9 + 0).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1773577 + ... + 1773636.

It is an arithmetic number, because the mean of its divisors is an integer number (15962463).

Almost surely, 2^106416390 is an apocalyptic number.

106416390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106416390 is an abundant number, since it is smaller than the sum of its proper divisors (148983018).

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

106416390 is a wasteful number, since it uses less digits than its factorization.

106416390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547223.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 106416390 is about 10315.8320071626. The cubic root of 106416390 is about 473.8812303682.

The spelling of 106416390 in words is "one hundred six million, four hundred sixteen thousand, three hundred ninety".