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106499976 = 233111093701
BaseRepresentation
bin1100101100100…
…00111110001000
321102101202111120
412112100332020
5204230444401
614322355240
72432143362
oct626207610
9242352446
10106499976
1155131010
122b7bbb20
13190ab24b
1410203d32
15953a836
hex6590f88

106499976 has 64 divisors (see below), whose sum is σ = 293198400. Its totient is φ = 31968000.

The previous prime is 106499969. The next prime is 106499983. The reversal of 106499976 is 679994601.

It is an interprime number because it is at equal distance from previous prime (106499969) and next prime (106499983).

It is a super-2 number, since 2×1064999762 = 22684489776001152, which contains 22 as substring.

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, 26926 + ... + 30626.

It is an arithmetic number, because the mean of its divisors is an integer number (4581225).

Almost surely, 2106499976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106499976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146599200).

106499976 is an abundant number, since it is smaller than the sum of its proper divisors (186698424).

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

106499976 is a wasteful number, since it uses less digits than its factorization.

106499976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 106499976 is about 10319.8825574713. The cubic root of 106499976 is about 474.0052697522.

The spelling of 106499976 in words is "one hundred six million, four hundred ninety-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 109 132 218 264 327 436 654 872 1199 1308 2398 2616 3597 3701 4796 7194 7402 9592 11103 14388 14804 22206 28776 29608 40711 44412 81422 88824 122133 162844 244266 325688 403409 488532 806818 977064 1210227 1613636 2420454 3227272 4437499 4840908 8874998 9681816 13312497 17749996 26624994 35499992 53249988 106499976