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106232432000 = 27536639527
BaseRepresentation
bin110001011101111110…
…0100100010110000000
3101011012112001200200112
41202323330210112000
53220031000311000
6120445201410452
710450352526122
oct1427374442600
9334175050615
10106232432000
1141064490552
1218709039a28
13a02caa9726
1451daa95212
152b6b486235
hex18bbf24580

106232432000 has 64 divisors (see below), whose sum is σ = 264120423840. Its totient is φ = 42492966400.

The previous prime is 106232431999. The next prime is 106232432003. The reversal of 106232432000 is 234232601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1062324320002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106232432003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3303764 + ... + 3335763.

Almost surely, 2106232432000 is an apocalyptic number.

106232432000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106232432000 is an abundant number, since it is smaller than the sum of its proper divisors (157887991840).

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

106232432000 is an frugal number, since it uses more digits than its factorization.

106232432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6639556 (or 6639534 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 106232432000 its reverse (234232601), we get a palindrome (106466664601).

The spelling of 106232432000 in words is "one hundred six billion, two hundred thirty-two million, four hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 6639527 13279054 26558108 33197635 53116216 66395270 106232432 132790540 165988175 212464864 265581080 331976350 424929728 531162160 663952700 829940875 849859456 1062324320 1327905400 1659881750 2124648640 2655810800 3319763500 4249297280 5311621600 6639527000 10623243200 13279054000 21246486400 26558108000 53116216000 106232432000