106262641440 has 72 divisors (see below), whose sum is σ = 362621268828. Its totient is φ = 28336704000.

The previous prime is 106262641423. The next prime is 106262641451. The reversal of 106262641440 is 44146262601.

106262641440 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 6 + 2 + 641 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104735082384 + 1527559056 = 323628^2 + 39084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106262641440² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106262641395 and 106262641404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36895311 + ... + 36898190.

Almost surely, 2^106262641440 is an apocalyptic number.

106262641440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106262641440 is an abundant number, since it is smaller than the sum of its proper divisors (256358627388).

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

106262641440 is a wasteful number, since it uses less digits than its factorization.

106262641440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73793522 (or 73793511 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 106262641440 in words is "one hundred six billion, two hundred sixty-two million, six hundred forty-one thousand, four hundred forty".