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107422900 = 22521382633
BaseRepresentation
bin1100110011100…
…10010010110100
321111010122111221
412121302102310
5210000013100
614354240124
72443036204
oct631622264
9244118457
10107422900
1155701462
122bb86044
1319342360
14103a4404
15966e01a
hex66724b4

107422900 has 36 divisors (see below), whose sum is σ = 251042092. Its totient is φ = 39663360.

The previous prime is 107422867. The next prime is 107422907. The reversal of 107422900 is 9224701.

It can be written as a sum of positive squares in 6 ways, for example, as 7862416 + 99560484 = 2804^2 + 9978^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107422907) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40017 + ... + 42616.

Almost surely, 2107422900 is an apocalyptic number.

107422900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107422900 is an abundant number, since it is smaller than the sum of its proper divisors (143619192).

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

107422900 is a wasteful number, since it uses less digits than its factorization.

107422900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82660 (or 82653 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 107422900 is about 10364.5019176032. The cubic root of 107422900 is about 475.3705695521.

The spelling of 107422900 in words is "one hundred seven million, four hundred twenty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 82633 165266 330532 413165 826330 1074229 1652660 2065825 2148458 4131650 4296916 5371145 8263300 10742290 21484580 26855725 53711450 107422900