106364401040 has 20 divisors (see below), whose sum is σ = 247297232604. Its totient is φ = 42545760384.

The previous prime is 106364401019. The next prime is 106364401051. The reversal of 106364401040 is 40104463601.

It can be written as a sum of positive squares in 2 ways, for example, as 11137847296 + 95226553744 = 105536^2 + 308588^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106364401040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106364400994 and 106364401012.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 664777427 + ... + 664777586.

Almost surely, 2^106364401040 is an apocalyptic number.

106364401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106364401040 is an abundant number, since it is smaller than the sum of its proper divisors (140932831564).

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

106364401040 is a wasteful number, since it uses less digits than its factorization.

106364401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329555026 (or 1329555020 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 106364401040 its reverse (40104463601), we get a palindrome (146468864641).

The spelling of 106364401040 in words is "one hundred six billion, three hundred sixty-four million, four hundred one thousand, forty".