106821792 has 144 divisors (see below), whose sum is σ = 378810432. Its totient is φ = 27740160.

The previous prime is 106821787. The next prime is 106821811. The reversal of 106821792 is 297128601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106821792² = 22821790492182528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 19768 + ... + 24584.

It is an arithmetic number, because the mean of its divisors is an integer number (2630628).

Almost surely, 2^106821792 is an apocalyptic number.

106821792 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 106821792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189405216).

106821792 is an abundant number, since it is smaller than the sum of its proper divisors (271988640).

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

106821792 is a wasteful number, since it uses less digits than its factorization.

106821792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4851 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106821792 is about 10335.4628343389. The cubic root of 106821792 is about 474.4822310147.

The spelling of 106821792 in words is "one hundred six million, eight hundred twenty-one thousand, seven hundred ninety-two".