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106432511420 = 22531792172979
BaseRepresentation
bin110001100011111011…
…1110011110110111100
3101011201110112210001102
41203013313303312330
53220433210331140
6120521110032232
710455332264054
oct1430767636674
9334643483042
10106432511420
1141157418144
1218764048678
13a062390c11
145219498564
152b7dd08e15
hex18c7df3dbc

106432511420 has 48 divisors (see below), whose sum is σ = 233638809600. Its totient is φ = 40678148160.

The previous prime is 106432511411. The next prime is 106432511461. The reversal of 106432511420 is 24115234601.

It is a super-2 number, since 2×1064325114202 (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 15 ways as a sum of consecutive naturals, for example, 1037510 + ... + 1135469.

It is an arithmetic number, because the mean of its divisors is an integer number (4867475200).

Almost surely, 2106432511420 is an apocalyptic number.

106432511420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106432511420 is an abundant number, since it is smaller than the sum of its proper divisors (127206298180).

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

106432511420 is a wasteful number, since it uses less digits than its factorization.

106432511420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173098 (or 2173096 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 106432511420 in words is "one hundred six billion, four hundred thirty-two million, five hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 79 124 155 158 310 316 395 620 790 1580 2449 4898 9796 12245 24490 48980 2172979 4345958 8691916 10864895 21729790 43459580 67362349 134724698 171665341 269449396 336811745 343330682 673623490 686661364 858326705 1347246980 1716653410 3433306820 5321625571 10643251142 21286502284 26608127855 53216255710 106432511420