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106361106462 = 232135983101919
BaseRepresentation
bin110001100001110011…
…1011011000000011110
3101011112111012000212100
41203003213123000132
53220311420401322
6120510035345530
710453504326252
oct1430347330036
9334474160770
10106361106462
1141120087586
12187441522a6
13a05064ca70
14520dbcc262
152b77901dac
hex18c39db01e

106361106462 has 192 divisors, whose sum is σ = 258232665600. Its totient is φ = 31435257600.

The previous prime is 106361106457. The next prime is 106361106491. The reversal of 106361106462 is 264601163601.

It is a happy number.

106361106462 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 6 + 1 + 1 + 0 + 646 + 2 = 666.

It is a super-2 number, since 2×1063611064622 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115735239 + ... + 115736157.

It is an arithmetic number, because the mean of its divisors is an integer number (1344961800).

Almost surely, 2106361106462 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106361106462, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129116332800).

106361106462 is an abundant number, since it is smaller than the sum of its proper divisors (151871559138).

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

106361106462 is a wasteful number, since it uses less digits than its factorization.

106361106462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 106361106462 in words is "one hundred six billion, three hundred sixty-one million, one hundred six thousand, four hundred sixty-two".