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106544541216 = 25310061110311
BaseRepresentation
bin110001100111010001…
…1001010111000100000
3101012000021100111001010
41203032203022320200
53221200400304331
6120540151140520
710461162441411
oct1431643127040
9335007314033
10106544541216
1141204685853
1218795674740
13a07c657139
14522a2db808
152b88a87e46
hex18ce8cae20

106544541216 has 48 divisors (see below), whose sum is σ = 279709754688. Its totient is φ = 35510995200.

The previous prime is 106544541209. The next prime is 106544541263. The reversal of 106544541216 is 612145445601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1065445412162 (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, 910701 + ... + 1021011.

It is an arithmetic number, because the mean of its divisors is an integer number (5827286556).

Almost surely, 2106544541216 is an apocalyptic number.

106544541216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106544541216 is an abundant number, since it is smaller than the sum of its proper divisors (173165213472).

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

106544541216 is a wasteful number, since it uses less digits than its factorization.

106544541216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120385 (or 120377 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

Adding to 106544541216 its reverse (612145445601), we get a palindrome (718689986817).

The spelling of 106544541216 in words is "one hundred six billion, five hundred forty-four million, five hundred forty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10061 20122 30183 40244 60366 80488 110311 120732 160976 220622 241464 321952 330933 441244 482928 661866 882488 965856 1323732 1764976 2647464 3529952 5294928 10589856 1109838971 2219677942 3329516913 4439355884 6659033826 8878711768 13318067652 17757423536 26636135304 35514847072 53272270608 106544541216