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106243120 = 24512710457
BaseRepresentation
bin1100101010100…
…10010000110000
321101220201011101
412111102100300
5204144234440
614313054144
72430023464
oct625222060
9241821141
10106243120
1154a76035
122b6b7354
131901b369
14101784a4
1594d969a
hex6552430

106243120 has 40 divisors (see below), whose sum is σ = 248984064. Its totient is φ = 42158592.

The previous prime is 106243103. The next prime is 106243133. The reversal of 106243120 is 21342601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1062431202 = 22575201094668800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4932 + ... + 15388.

Almost surely, 2106243120 is an apocalyptic number.

106243120 is a gapful number since it is divisible by the number (10) 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 106243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124492032).

106243120 is an abundant number, since it is smaller than the sum of its proper divisors (142740944).

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

106243120 is a wasteful number, since it uses less digits than its factorization.

106243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10597 (or 10591 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 106243120 is about 10307.4303296214. The cubic root of 106243120 is about 473.6238953049.

Adding to 106243120 its reverse (21342601), we get a palindrome (127585721).

The spelling of 106243120 in words is "one hundred six million, two hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 5080 10160 10457 20914 41828 52285 83656 104570 167312 209140 418280 836560 1328039 2656078 5312156 6640195 10624312 13280390 21248624 26560780 53121560 106243120