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106378596 = 22361912
BaseRepresentation
bin1100101011100…
…11010101100100
321102011121000000
412111303111210
5204213103341
614320021300
72431126452
oct625632544
9242147000
10106378596
11550588a5
122b761830
1319067c1c
14101b19d2
1595148b6
hex6573564

106378596 has 63 divisors (see below), whose sum is σ = 280585123. Its totient is φ = 35273880.

The previous prime is 106378567. The next prime is 106378609. The reversal of 106378596 is 695873601.

It is a happy number.

The square root of 106378596 is 10314.

It is a perfect power (a square), and thus also a powerful number.

106378596 is a `hidden beast` number, since 1 + 0 + 637 + 8 + 5 + 9 + 6 = 666.

It is a super-2 number, since 2×1063785962 = 22632811373862432, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 556861 + ... + 557051.

Almost surely, 2106378596 is an apocalyptic number.

106378596 is the 10314-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106378596

106378596 is an abundant number, since it is smaller than the sum of its proper divisors (174206527).

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

106378596 is an frugal number, since it uses more digits than its factorization.

106378596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The cubic root of 106378596 is about 473.8251237607.

The spelling of 106378596 in words is "one hundred six million, three hundred seventy-eight thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 191 243 324 382 486 573 729 764 972 1146 1458 1719 2292 2916 3438 5157 6876 10314 15471 20628 30942 36481 46413 61884 72962 92826 109443 139239 145924 185652 218886 278478 328329 437772 556956 656658 984987 1313316 1969974 2954961 3939948 5909922 8864883 11819844 17729766 26594649 35459532 53189298 106378596