106288350 has 72 divisors (see below), whose sum is σ = 306652248. Its totient is φ = 24292800.

The previous prime is 106288333. The next prime is 106288397. The reversal of 106288350 is 53882601.

It is a happy number.

It is a super-2 number, since 2×106288350² = 22594426691445000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120 + ... + 14580.

It is an arithmetic number, because the mean of its divisors is an integer number (4259059).

Almost surely, 2^106288350 is an apocalyptic number.

106288350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106288350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153326124).

106288350 is an abundant number, since it is smaller than the sum of its proper divisors (200363898).

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

106288350 is a wasteful number, since it uses less digits than its factorization.

106288350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14490 (or 14478 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 106288350 is about 10309.6241444584. The cubic root of 106288350 is about 473.6910964236.

The spelling of 106288350 in words is "one hundred six million, two hundred eighty-eight thousand, three hundred fifty".