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106442532 = 22337140797
BaseRepresentation
bin1100101100000…
…10111100100100
321102021211201000
412112002330210
5204222130112
614321233300
72431514040
oct626027444
9242254630
10106442532
11550a1939
122b792830
131908b061
14101cb020
1595287dc
hex6582f24

106442532 has 48 divisors (see below), whose sum is σ = 315387520. Its totient is φ = 30411936.

The previous prime is 106442521. The next prime is 106442543. The reversal of 106442532 is 235244601.

106442532 is a `hidden beast` number, since 10 + 644 + 2 + 5 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (106442521) and next prime (106442543).

It is a super-2 number, since 2×1064425322 = 22660025237142048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106442496 and 106442505.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69643 + ... + 71154.

Almost surely, 2106442532 is an apocalyptic number.

106442532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106442532 is an abundant number, since it is smaller than the sum of its proper divisors (208944988).

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

106442532 is a wasteful number, since it uses less digits than its factorization.

106442532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140817 (or 140809 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 106442532 is about 10317.0990108654. The cubic root of 106442532 is about 473.9200313738.

The spelling of 106442532 in words is "one hundred six million, four hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 140797 281594 422391 563188 844782 985579 1267173 1689564 1971158 2534346 2956737 3801519 3942316 5068692 5913474 7603038 8870211 11826948 15206076 17740422 26610633 35480844 53221266 106442532