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106246019385 = 3351171546141
BaseRepresentation
bin110001011110011000…
…0011001100100111001
3101011020110122000002000
41202330300121210321
53220042440110020
6120450404531213
710450606156362
oct1427460314471
9334213560060
10106246019385
11410711209a0
12187116b0b09
13a0328560bc
1451dc7d0b69
152b6c76c090
hex18bcc19939

106246019385 has 32 divisors (see below), whose sum is σ = 206052888960. Its totient is φ = 51513220800.

The previous prime is 106246019311. The next prime is 106246019387. The reversal of 106246019385 is 583910642601.

106246019385 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 4 + 601 + 9 + 38 + 5 = 666.

It is not a de Polignac number, because 106246019385 - 226 = 106178910521 is a prime.

It is a super-2 number, since 2×1062460193852 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 106246019385.

It is not an unprimeable number, because it can be changed into a prime (106246019387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35771586 + ... + 35774555.

It is an arithmetic number, because the mean of its divisors is an integer number (6439152780).

Almost surely, 2106246019385 is an apocalyptic number.

106246019385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106246019385 is a deficient number, since it is larger than the sum of its proper divisors (99806869575).

106246019385 is a wasteful number, since it uses less digits than its factorization.

106246019385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71546166 (or 71546160 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 106246019385 in words is "one hundred six billion, two hundred forty-six million, nineteen thousand, three hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 71546141 214638423 357730705 643915269 787007551 1073192115 1931745807 2361022653 3219576345 3935037755 7083067959 9658729035 11805113265 21249203877 35415339795 106246019385