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106992540 = 22325594403
BaseRepresentation
bin1100110000010…
…01001110011100
321110022210011200
412120021032130
5204342230130
614341115500
72436264414
oct630111634
9243283150
10106992540
1155438096
122b9b8b90
13192214c5
14102d1644
1595d6760
hex660939c

106992540 has 36 divisors (see below), whose sum is σ = 324544584. Its totient is φ = 28531296.

The previous prime is 106992503. The next prime is 106992541. The reversal of 106992540 is 45299601.

106992540 is a `hidden beast` number, since 106 + 9 + 9 + 2 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1069925402 = 22894807231303200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106992495 and 106992504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106992541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 297022 + ... + 297381.

Almost surely, 2106992540 is an apocalyptic number.

106992540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106992540 is an abundant number, since it is smaller than the sum of its proper divisors (217552044).

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

106992540 is a wasteful number, since it uses less digits than its factorization.

106992540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594418 (or 594413 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 106992540 is about 10343.7198337929. The cubic root of 106992540 is about 474.7349065594.

The spelling of 106992540 in words is "one hundred six million, nine hundred ninety-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 594403 1188806 1783209 2377612 2972015 3566418 5349627 5944030 7132836 8916045 10699254 11888060 17832090 21398508 26748135 35664180 53496270 106992540