1010675106432 has 96 divisors (see below), whose sum is σ = 2979257741460. Its totient is φ = 328674816000.

The previous prime is 1010675106379. The next prime is 1010675106499. The reversal of 1010675106432 is 2346015760101.

1010675106432 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 6 + 7 + 5 + 1 + 0 + 643 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 863605924416 + 147069182016 = 929304^2 + 383496^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1010675106432² (a number of 25 digits) 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10651819 + ... + 10746282.

Almost surely, 2^{1010675106432} is an apocalyptic number.

1010675106432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010675106432 is an abundant number, since it is smaller than the sum of its proper divisors (1968582635028).

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

1010675106432 is a wasteful number, since it uses less digits than its factorization.

1010675106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21398162 (or 21398147 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1010675106432 in words is "one trillion, ten billion, six hundred seventy-five million, one hundred six thousand, four hundred thirty-two".