106542870 has 32 divisors (see below), whose sum is σ = 292232448. Its totient is φ = 24352608.

The previous prime is 106542857. The next prime is 106542871. The reversal of 106542870 is 78245601.

It is a super-2 number, since 2×106542870² = 22702766295673800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106542871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253464 + ... + 253883.

It is an arithmetic number, because the mean of its divisors is an integer number (9132264).

Almost surely, 2^106542870 is an apocalyptic number.

106542870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106542870 is an abundant number, since it is smaller than the sum of its proper divisors (185689578).

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

106542870 is a wasteful number, since it uses less digits than its factorization.

106542870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507364.

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 106542870 is about 10321.9605695817. The cubic root of 106542870 is about 474.0688981014.

The spelling of 106542870 in words is "one hundred six million, five hundred forty-two thousand, eight hundred seventy".