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106992 = 2432743
BaseRepresentation
bin11010000111110000
312102202200
4122013300
511410432
62143200
7623634
oct320760
9172680
10106992
1173426
1251b00
1339912
142adc4
1521a7c
hex1a1f0

106992 has 30 divisors (see below), whose sum is σ = 299832. Its totient is φ = 35616.

The previous prime is 106979. The next prime is 106993. The reversal of 106992 is 299601.

It is a happy number.

It is a super-2 number, since 2×1069922 = 22894576128, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106992.

It is not an unprimeable number, because it can be changed into a prime (106993) by changing a digit.

106992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 228 + ... + 515.

2106992 is an apocalyptic number.

106992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106992 is an abundant number, since it is smaller than the sum of its proper divisors (192840).

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

106992 is a wasteful number, since it uses less digits than its factorization.

106992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 106992 is about 327.0963160905. The cubic root of 106992 is about 47.4734107883.

It can be divided in two parts, 10699 and 2, that added together give a palindrome (10701).

The spelling of 106992 in words is "one hundred six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 743 1486 2229 2972 4458 5944 6687 8916 11888 13374 17832 26748 35664 53496 106992