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107220096 = 2732163571
BaseRepresentation
bin1100110010000…
…00110010000000
321110202100022200
412121000302000
5204422020341
614350033200
72441233014
oct631006200
9243670280
10107220096
1155583055
122baa8800
13192a0c59
1410350544
15962ddb6
hex6640c80

107220096 has 96 divisors (see below), whose sum is σ = 310973520. Its totient is φ = 35458560.

The previous prime is 107220079. The next prime is 107220107. The reversal of 107220096 is 690022701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1072200962 = 22992297972498432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187491 + ... + 188061.

Almost surely, 2107220096 is an apocalyptic number.

107220096 is a gapful number since it is divisible by the number (16) 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 107220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155486760).

107220096 is an abundant number, since it is smaller than the sum of its proper divisors (203753424).

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

107220096 is a wasteful number, since it uses less digits than its factorization.

107220096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107220096 is about 10354.7137092244. The cubic root of 107220096 is about 475.0712299459.

Adding to 107220096 its reverse (690022701), we get a palindrome (797242797).

The spelling of 107220096 in words is "one hundred seven million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 163 192 288 326 384 489 571 576 652 978 1142 1152 1304 1467 1713 1956 2284 2608 2934 3426 3912 4568 5139 5216 5868 6852 7824 9136 10278 10432 11736 13704 15648 18272 20556 20864 23472 27408 31296 36544 41112 46944 54816 62592 73088 82224 93073 93888 109632 164448 186146 187776 219264 279219 328896 372292 558438 657792 744584 837657 1116876 1489168 1675314 2233752 2978336 3350628 4467504 5956672 6701256 8935008 11913344 13402512 17870016 26805024 35740032 53610048 107220096