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105419457 = 321113101811
BaseRepresentation
bin1100100100010…
…01001011000001
321100100212022100
412102021023001
5203441410312
614243301013
72420023233
oct622111301
9240325270
10105419457
1154563220
122b37a769
1318ac04a0
1410002253
1593c55dc
hex64892c1

105419457 has 48 divisors (see below), whose sum is σ = 180887616. Its totient is φ = 58320000.

The previous prime is 105419411. The next prime is 105419471. The reversal of 105419457 is 754914501.

It is not a de Polignac number, because 105419457 - 211 = 105417409 is a prime.

It is a super-2 number, since 2×1054194572 = 22226523828349698, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105419477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129582 + ... + 130392.

It is an arithmetic number, because the mean of its divisors is an integer number (3768492).

Almost surely, 2105419457 is an apocalyptic number.

It is an amenable number.

105419457 is a deficient number, since it is larger than the sum of its proper divisors (75468159).

105419457 is a wasteful number, since it uses less digits than its factorization.

105419457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 105419457 is about 10267.3977715875. The cubic root of 105419457 is about 472.3967759728.

The spelling of 105419457 in words is "one hundred five million, four hundred nineteen thousand, four hundred fifty-seven".

Divisors: 1 3 9 11 13 33 39 99 101 117 143 303 429 811 909 1111 1287 1313 2433 3333 3939 7299 8921 9999 10543 11817 14443 26763 31629 43329 80289 81911 94887 115973 129987 245733 347919 737199 901021 1043757 1064843 2703063 3194529 8109189 9583587 11713273 35139819 105419457