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106006300 = 22523792797
BaseRepresentation
bin1100101000110…
…00011100011100
321101110200022021
412110120130130
5204114200200
614304025524
72425016161
oct624303434
9241420267
10106006300
1154924114
122b6022a4
1318c6762a
1410116068
15948e41a
hex651871c

106006300 has 36 divisors (see below), whose sum is σ = 230723080. Its totient is φ = 42275520.

The previous prime is 106006297. The next prime is 106006319. The reversal of 106006300 is 3600601.

It is a happy number.

It is a super-2 number, since 2×1060063002 = 22474671279380000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36502 + ... + 39298.

Almost surely, 2106006300 is an apocalyptic number.

106006300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106006300 is an abundant number, since it is smaller than the sum of its proper divisors (124716780).

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

106006300 is a wasteful number, since it uses less digits than its factorization.

106006300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 106006300 is about 10295.9360914877. The cubic root of 106006300 is about 473.2717248828.

Adding to 106006300 its reverse (3600601), we get a palindrome (109606901).

It can be divided in two parts, 10600 and 6300, that added together give a square (16900 = 1302).

The spelling of 106006300 in words is "one hundred six million, six thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 379 758 1516 1895 2797 3790 5594 7580 9475 11188 13985 18950 27970 37900 55940 69925 139850 279700 1060063 2120126 4240252 5300315 10600630 21201260 26501575 53003150 106006300