106888992 has 144 divisors (see below), whose sum is σ = 337381632. Its totient is φ = 29514240.

The previous prime is 106888987. The next prime is 106888993. The reversal of 106888992 is 299888601.

It is a super-2 number, since 2×106888992² = 22850513221552128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106888993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145458 + ... + 146190.

It is an arithmetic number, because the mean of its divisors is an integer number (2342928).

Almost surely, 2^106888992 is an apocalyptic number.

106888992 is a gapful number since it is divisible by the number (12) 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 106888992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168690816).

106888992 is an abundant number, since it is smaller than the sum of its proper divisors (230492640).

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

106888992 is a wasteful number, since it uses less digits than its factorization.

106888992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The square root of 106888992 is about 10338.7132661662. The cubic root of 106888992 is about 474.5817067287.

It can be divided in two parts, 106888 and 992, that added together give a triangular number (107880 = T₄₆₄).

The spelling of 106888992 in words is "one hundred six million, eight hundred eighty-eight thousand, nine hundred ninety-two".