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106215102656 = 2613831538101
BaseRepresentation
bin110001011101011101…
…0011101100011000000
3101011011022110021021222
41202322322131203000
53220012031241111
6120443342134212
710450052322215
oct1427272354300
9334138407258
10106215102656
1141055724783
1218703281368
13a02931ca90
1451d8663b0c
152b69bb17db
hex18bae9d8c0

106215102656 has 56 divisors (see below), whose sum is σ = 229718609904. Its totient is φ = 48431692800.

The previous prime is 106215102641. The next prime is 106215102671. The reversal of 106215102656 is 656201512601.

It is an interprime number because it is at equal distance from previous prime (106215102641) and next prime (106215102671).

It is a super-2 number, since 2×1062151026562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699995 + ... + 838106.

It is an arithmetic number, because the mean of its divisors is an integer number (4102118034).

Almost surely, 2106215102656 is an apocalyptic number.

106215102656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106215102656 is an abundant number, since it is smaller than the sum of its proper divisors (123503507248).

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

106215102656 is a wasteful number, since it uses less digits than its factorization.

106215102656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538209 (or 1538199 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 106215102656 in words is "one hundred six billion, two hundred fifteen million, one hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 166 208 332 416 664 832 1079 1328 2158 2656 4316 5312 8632 17264 34528 69056 1538101 3076202 6152404 12304808 19995313 24609616 39990626 49219232 79981252 98438464 127662383 159962504 255324766 319925008 510649532 639850016 1021299064 1279700032 1659610979 2042598128 3319221958 4085196256 6638443916 8170392512 13276887832 26553775664 53107551328 106215102656