106878500 has 48 divisors (see below), whose sum is σ = 237444480. Its totient is φ = 42015200.

The previous prime is 106878491. The next prime is 106878523. The reversal of 106878500 is 5878601.

It is a happy number.

It is a super-2 number, since 2×106878500² = 22846027524500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27689 + ... + 31311.

It is an arithmetic number, because the mean of its divisors is an integer number (4946760).

Almost surely, 2^106878500 is an apocalyptic number.

106878500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106878500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118722240).

106878500 is an abundant number, since it is smaller than the sum of its proper divisors (130565980).

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

106878500 is a wasteful number, since it uses less digits than its factorization.

106878500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 106878500 is about 10338.2058404735. The cubic root of 106878500 is about 474.5661782379.

The spelling of 106878500 in words is "one hundred six million, eight hundred seventy-eight thousand, five hundred".