Search a number
-
+
106037056 = 261656829
BaseRepresentation
bin1100101000111…
…11111101000000
321101112020111101
412110133331000
5204121141211
614304424144
72425204636
oct624377500
9241466441
10106037056
1154945234
122b618054
1318c78628
1410123356
1594985c1
hex651ff40

106037056 has 14 divisors (see below), whose sum is σ = 210417410. Its totient is φ = 53018496.

The previous prime is 106037051. The next prime is 106037059. The reversal of 106037056 is 650730601.

It can be written as a sum of positive squares in only one way, i.e., 88059456 + 17977600 = 9384^2 + 4240^2 .

It is a super-2 number, since 2×1060370562 = 22487714490294272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106037051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 828351 + ... + 828478.

It is an arithmetic number, because the mean of its divisors is an integer number (15029815).

Almost surely, 2106037056 is an apocalyptic number.

106037056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106037056 is a deficient number, since it is larger than the sum of its proper divisors (104380354).

106037056 is an equidigital number, since it uses as much as digits as its factorization.

106037056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656841 (or 1656831 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 106037056 is about 10297.4295821821. The cubic root of 106037056 is about 473.3174911491.

Adding to 106037056 its reverse (650730601), we get a palindrome (756767657).

The spelling of 106037056 in words is "one hundred six million, thirty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 1656829 3313658 6627316 13254632 26509264 53018528 106037056