106735464 has 192 divisors, whose sum is σ = 342014400. Its totient is φ = 29721600.

The previous prime is 106735451. The next prime is 106735471. The reversal of 106735464 is 464537601.

It is a happy number.

106735464 is a `hidden beast` number, since 106 + 7 + 3 + 546 + 4 = 666.

It is a super-2 number, since 2×106735464² = 22784918550590592, 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 47 ways as a sum of consecutive naturals, for example, 616882 + ... + 617054.

It is an arithmetic number, because the mean of its divisors is an integer number (1781325).

Almost surely, 2^106735464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106735464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171007200).

106735464 is an abundant number, since it is smaller than the sum of its proper divisors (235278936).

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

106735464 is a wasteful number, since it uses less digits than its factorization.

106735464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 106735464 is about 10331.2856895935. The cubic root of 106735464 is about 474.3543790085.

The spelling of 106735464 in words is "one hundred six million, seven hundred thirty-five thousand, four hundred sixty-four".