106401761000 has 32 divisors (see below), whose sum is σ = 248980123080. Its totient is φ = 42560704000.

The previous prime is 106401760963. The next prime is 106401761033. The reversal of 106401761000 is 167104601.

It can be written as a sum of positive squares in 4 ways, for example, as 65575942084 + 40825818916 = 256078^2 + 202054^2 .

It is a super-2 number, since 2×106401761000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53199881 + ... + 53201880.

Almost surely, 2^106401761000 is an apocalyptic number.

106401761000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106401761000 is an abundant number, since it is smaller than the sum of its proper divisors (142578362080).

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

106401761000 is a wasteful number, since it uses less digits than its factorization.

106401761000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106401782 (or 106401768 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 106401761000 its reverse (167104601), we get a palindrome (106568865601).

The spelling of 106401761000 in words is "one hundred six billion, four hundred one million, seven hundred sixty-one thousand".