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106072604 = 22112997857
BaseRepresentation
bin1100101001010…
…00101000011100
321101121001020222
412110220220130
5204123310404
614305300512
72425413401
oct624505034
9241531228
10106072604
1154969a10
122b634738
1318c8b871
14101322a8
1594a3dbe
hex6528a1c

106072604 has 48 divisors (see below), whose sum is σ = 211891680. Its totient is φ = 46018560.

The previous prime is 106072601. The next prime is 106072613. The reversal of 106072604 is 406270601.

It is a super-2 number, since 2×1060726042 = 22502794638681632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106072601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123344 + ... + 124200.

It is an arithmetic number, because the mean of its divisors is an integer number (4414410).

Almost surely, 2106072604 is an apocalyptic number.

It is an amenable number.

106072604 is a deficient number, since it is larger than the sum of its proper divisors (105819076).

106072604 is a wasteful number, since it uses less digits than its factorization.

106072604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 106072604 is about 10299.1554993601. The cubic root of 106072604 is about 473.3703770960.

The spelling of 106072604 in words is "one hundred six million, seventy-two thousand, six hundred four".

Divisors: 1 2 4 11 22 29 44 58 97 116 194 319 388 638 857 1067 1276 1714 2134 2813 3428 4268 5626 9427 11252 18854 24853 30943 37708 49706 61886 83129 99412 123772 166258 273383 332516 546766 914419 1093532 1828838 2410741 3657676 4821482 9642964 26518151 53036302 106072604