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106247664 = 24323123801
BaseRepresentation
bin1100101010100…
…11010111110000
321101220221101200
412111103113300
5204144411124
614313131200
72430042645
oct625232760
9241827350
10106247664
1154a79496
122b6b9b00
1319020453
1410179dcc
1594dabc9
hex65535f0

106247664 has 60 divisors (see below), whose sum is σ = 306950592. Its totient is φ = 34272000.

The previous prime is 106247651. The next prime is 106247699. The reversal of 106247664 is 466742601.

It is a super-2 number, since 2×1062476642 = 22577132210913792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 7437 + ... + 16364.

Almost surely, 2106247664 is an apocalyptic number.

It is an amenable number.

106247664 is an abundant number, since it is smaller than the sum of its proper divisors (200702928).

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

106247664 is a wasteful number, since it uses less digits than its factorization.

106247664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23846 (or 23837 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 106247664 is about 10307.6507507773. The cubic root of 106247664 is about 473.6306474795.

The spelling of 106247664 in words is "one hundred six million, two hundred forty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 23801 47602 71403 95204 142806 190408 214209 285612 380816 428418 571224 737831 856836 1142448 1475662 1713672 2213493 2951324 3427344 4426986 5902648 6640479 8853972 11805296 13280958 17707944 26561916 35415888 53123832 106247664