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107056950 = 2352711132331
BaseRepresentation
bin1100110000110…
…00111100110110
321110110001112020
412120120330312
5204401310300
614342334010
72436653250
oct630307466
9243401466
10107056950
1155481520
122ba2a306
1319244910
141030acd0
1595ea8a0
hex6618f36

107056950 has 384 divisors, whose sum is σ = 383975424. Its totient is φ = 19008000.

The previous prime is 107056949. The next prime is 107056967. The reversal of 107056950 is 59650701.

It is a super-2 number, since 2×1070569502 = 22922381086605000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3453435 + ... + 3453465.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 2107056950 is an apocalyptic number.

107056950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107056950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191987712).

107056950 is an abundant number, since it is smaller than the sum of its proper divisors (276918474).

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

107056950 is a wasteful number, since it uses less digits than its factorization.

107056950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 107056950 is about 10346.8328487514. The cubic root of 107056950 is about 474.8301516467.

The spelling of 107056950 in words is "one hundred seven million, fifty-six thousand, nine hundred fifty".