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106045032 = 2337162233
BaseRepresentation
bin1100101001000…
…01111001101000
321101112122102210
412110201321220
5204121420112
614304525120
72425240122
oct624417150
9241478383
10106045032
1154950225
122b6207a0
1318c7c152
1410126212
15949ab3c
hex6521e68

106045032 has 32 divisors (see below), whose sum is σ = 268850880. Its totient is φ = 34849920.

The previous prime is 106045003. The next prime is 106045039. The reversal of 106045032 is 230540601.

It is a happy number.

It is a super-2 number, since 2×1060450322 = 22491097623762048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106045039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29413 + ... + 32820.

It is an arithmetic number, because the mean of its divisors is an integer number (8401590).

Almost surely, 2106045032 is an apocalyptic number.

106045032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106045032 is an abundant number, since it is smaller than the sum of its proper divisors (162805848).

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

106045032 is a wasteful number, since it uses less digits than its factorization.

106045032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62313 (or 62309 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 106045032 is about 10297.8168560137. The cubic root of 106045032 is about 473.3293583391.

Adding to 106045032 its reverse (230540601), we get a palindrome (336585633).

The spelling of 106045032 in words is "one hundred six million, forty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 62233 124466 186699 248932 373398 497864 746796 1493592 4418543 8837086 13255629 17674172 26511258 35348344 53022516 106045032