106199310 has 32 divisors (see below), whose sum is σ = 291290112. Its totient is φ = 24274080.

The previous prime is 106199309. The next prime is 106199311. The reversal of 106199310 is 13991601.

It is an interprime number because it is at equal distance from previous prime (106199309) and next prime (106199311).

It is a super-2 number, since 2×106199310² = 22556586888952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106199311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 252646 + ... + 253065.

It is an arithmetic number, because the mean of its divisors is an integer number (9102816).

Almost surely, 2^106199310 is an apocalyptic number.

106199310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106199310 is an abundant number, since it is smaller than the sum of its proper divisors (185090802).

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

106199310 is a wasteful number, since it uses less digits than its factorization.

106199310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505728.

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 106199310 is about 10305.3049445419. The cubic root of 106199310 is about 473.5587857851.

The spelling of 106199310 in words is "one hundred six million, one hundred ninety-nine thousand, three hundred ten".