106462440 has 192 divisors, whose sum is σ = 400982400. Its totient is φ = 23993856.

The previous prime is 106462439. The next prime is 106462493. The reversal of 106462440 is 44264601.

106462440 is a `hidden beast` number, since 10 + 646 + 2 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×106462440² = 22668502261507200, which contains 22 as substring.

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, 208906 + ... + 209414.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^106462440 is an apocalyptic number.

106462440 is a gapful number since it is divisible by the number (10) 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 106462440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491200).

106462440 is an abundant number, since it is smaller than the sum of its proper divisors (294519960).

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

106462440 is a wasteful number, since it uses less digits than its factorization.

106462440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 106462440 is about 10318.0637718518. The cubic root of 106462440 is about 473.9495753655.

It can be divided in two parts, 1064 and 62440, that added together give a square (63504 = 252²).

The spelling of 106462440 in words is "one hundred six million, four hundred sixty-two thousand, four hundred forty".