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106243032 = 2337738663
BaseRepresentation
bin1100101010100…
…10001111011000
321101220201001010
412111102033120
5204144234112
614313053520
72430023310
oct625221730
9241821033
10106243032
1154a75a65
122b6b72a0
131901b2cc
1410178440
1594d963c
hex65523d8

106243032 has 64 divisors (see below), whose sum is σ = 307745280. Its totient is φ = 29935872.

The previous prime is 106243001. The next prime is 106243043. The reversal of 106243032 is 230342601.

It is a happy number.

It is a super-2 number, since 2×1062430322 = 22575163697106048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7933 + ... + 16595.

It is an arithmetic number, because the mean of its divisors is an integer number (4808520).

Almost surely, 2106243032 is an apocalyptic number.

106243032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106243032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153872640).

106243032 is an abundant number, since it is smaller than the sum of its proper divisors (201502248).

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

106243032 is a wasteful number, since it uses less digits than its factorization.

106243032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8752 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 106243032 is about 10307.4260608553. The cubic root of 106243032 is about 473.6237645390.

Adding to 106243032 its reverse (230342601), we get a palindrome (336585633).

The spelling of 106243032 in words is "one hundred six million, two hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 8663 12264 17326 25989 34652 51978 60641 69304 103956 121282 181923 207912 242564 363846 485128 632399 727692 1264798 1455384 1897197 2529596 3794394 4426793 5059192 7588788 8853586 13280379 15177576 17707172 26560758 35414344 53121516 106243032