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106003572 = 2238833631
BaseRepresentation
bin1100101000101…
…11110001110100
321101110112120020
412110113301310
5204114103242
614304005140
72425005213
oct624276164
9241415506
10106003572
1154922064
122b6007b0
1318c6630c
141011507a
15948d6ec
hex6517c74

106003572 has 12 divisors (see below), whose sum is σ = 247341696. Its totient is φ = 35334520.

The previous prime is 106003571. The next prime is 106003577. The reversal of 106003572 is 275300601.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×1060035722 = 22473514553518368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106003571) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4416804 + ... + 4416827.

It is an arithmetic number, because the mean of its divisors is an integer number (20611808).

Almost surely, 2106003572 is an apocalyptic number.

106003572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106003572 is an abundant number, since it is smaller than the sum of its proper divisors (141338124).

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

106003572 is a wasteful number, since it uses less digits than its factorization.

106003572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833638 (or 8833636 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 106003572 is about 10295.8036111806. The cubic root of 106003572 is about 473.2676650727.

The spelling of 106003572 in words is "one hundred six million, three thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 8833631 17667262 26500893 35334524 53001786 106003572