106877964 has 96 divisors (see below), whose sum is σ = 278208000. Its totient is φ = 31781376.

The previous prime is 106877923. The next prime is 106877971. The reversal of 106877964 is 469778601.

It is a super-2 number, since 2×106877964² = 22845798377570592, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 466602 + ... + 466830.

It is an arithmetic number, because the mean of its divisors is an integer number (2898000).

Almost surely, 2^106877964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106877964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139104000).

106877964 is an abundant number, since it is smaller than the sum of its proper divisors (171330036).

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

106877964 is a wasteful number, since it uses less digits than its factorization.

106877964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 106877964 is about 10338.1799171808. The cubic root of 106877964 is about 474.5653849137.

The spelling of 106877964 in words is "one hundred six million, eight hundred seventy-seven thousand, nine hundred sixty-four".