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106037010 = 23251178189
BaseRepresentation
bin1100101000111…
…11111100010010
321101112020102200
412110133330102
5204121141020
614304424030
72425204542
oct624377422
9241466380
10106037010
11549451a2
122b618016
1318c785c1
1410123322
159498590
hex651ff12

106037010 has 24 divisors (see below), whose sum is σ = 275696460. Its totient is φ = 28276512.

The previous prime is 106036981. The next prime is 106037017. The reversal of 106037010 is 10730601.

It can be written as a sum of positive squares in 2 ways, for example, as 92794689 + 13242321 = 9633^2 + 3639^2 .

It is a super-2 number, since 2×1060370102 = 22487694979480200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (106037017) 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, 589005 + ... + 589184.

Almost surely, 2106037010 is an apocalyptic number.

106037010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106037010 is an abundant number, since it is smaller than the sum of its proper divisors (169659450).

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

106037010 is a wasteful number, since it uses less digits than its factorization.

106037010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178202 (or 1178199 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 106037010 is about 10297.4273486148. The cubic root of 106037010 is about 473.3174227057.

Adding to 106037010 its reverse (10730601), we get a palindrome (116767611).

The spelling of 106037010 in words is "one hundred six million, thirty-seven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1178189 2356378 3534567 5890945 7069134 10603701 11781890 17672835 21207402 35345670 53018505 106037010