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106005361406 = 27499110313757
BaseRepresentation
bin110001010111001101…
…0010111001011111110
3101010121200210022101112
41202232122113023332
53214044333031111
6120410450442022
710441624463540
oct1425632271376
9333550708345
10106005361406
1140a58298aaa
1218664b93312
139cc4a34929
1451b8867690
152b56580e8b
hex18ae6972fe

106005361406 has 32 divisors (see below), whose sum is σ = 182265984000. Its totient is φ = 45295426656.

The previous prime is 106005361373. The next prime is 106005361463. The reversal of 106005361406 is 604163500601.

It is a super-2 number, since 2×1060053614062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7698680 + ... + 7712436.

It is an arithmetic number, because the mean of its divisors is an integer number (5695812000).

Almost surely, 2106005361406 is an apocalyptic number.

106005361406 is a deficient number, since it is larger than the sum of its proper divisors (76260622594).

106005361406 is a wasteful number, since it uses less digits than its factorization.

106005361406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15368.

The product of its (nonzero) digits is 12960, while the sum is 32.

The spelling of 106005361406 in words is "one hundred six billion, five million, three hundred sixty-one thousand, four hundred six".

Divisors: 1 2 7 14 499 998 1103 2206 3493 6986 7721 13757 15442 27514 96299 192598 550397 1100794 3852779 6864743 7705558 13729486 15173971 30347942 48053201 96106402 106217797 212435594 7571811529 15143623058 53002680703 106005361406