106465800 has 96 divisors (see below), whose sum is σ = 377208000. Its totient is φ = 24334080.

The previous prime is 106465789. The next prime is 106465813. The reversal of 106465800 is 8564601.

It is a super-2 number, since 2×106465800² = 22669933139280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8475 + ... + 16874.

It is an arithmetic number, because the mean of its divisors is an integer number (3929250).

Almost surely, 2^106465800 is an apocalyptic number.

106465800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106465800 is an abundant number, since it is smaller than the sum of its proper divisors (270742200).

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

106465800 is a wasteful number, since it uses less digits than its factorization.

106465800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25375 (or 25366 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106465800 is about 10318.2265918131. The cubic root of 106465800 is about 473.9545613300.

The spelling of 106465800 in words is "one hundred six million, four hundred sixty-five thousand, eight hundred".