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106960932 = 223313293771
BaseRepresentation
bin1100110000000…
…01100000100100
321110021011211000
412120001200210
5204340222212
614340313300
72436103311
oct630014044
9243234730
10106960932
1155416371
122b9a2830
131920ccc0
14102c3d08
1595cc1dc
hex6601824

106960932 has 192 divisors, whose sum is σ = 321753600. Its totient is φ = 30481920.

The previous prime is 106960921. The next prime is 106960951. The reversal of 106960932 is 239069601.

106960932 is a `hidden beast` number, since 10 + 6 + 9 + 609 + 32 = 666.

It is a super-2 number, since 2×1069609322 = 22881281948617248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1506457 + ... + 1506527.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2106960932 is an apocalyptic number.

106960932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106960932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160876800).

106960932 is an abundant number, since it is smaller than the sum of its proper divisors (214792668).

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

106960932 is a wasteful number, since it uses less digits than its factorization.

106960932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 106960932 is about 10342.1918373235. The cubic root of 106960932 is about 474.6881528362.

It can be divided in two parts, 1069 and 60932, that added together give a square (62001 = 2492).

The spelling of 106960932 in words is "one hundred six million, nine hundred sixty thousand, nine hundred thirty-two".