106198272 has 54 divisors (see below), whose sum is σ = 306202442. Its totient is φ = 35398656.

The previous prime is 106198247. The next prime is 106198327. The reversal of 106198272 is 272891601.

106198272 is a `hidden beast` number, since 10 + 619 + 8 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 15872256 = 9504^2 + 3984^2 .

It is a super-2 number, since 2×106198272² = 22556145951571968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20743 + ... + 25350.

Almost surely, 2^106198272 is an apocalyptic number.

106198272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106198272 is an abundant number, since it is smaller than the sum of its proper divisors (200004170).

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

106198272 is an equidigital number, since it uses as much as digits as its factorization.

106198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46115 (or 46098 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106198272 is about 10305.2545820082. The cubic root of 106198272 is about 473.5572429138.

The spelling of 106198272 in words is "one hundred six million, one hundred ninety-eight thousand, two hundred seventy-two".