10405152141100 has 36 divisors (see below), whose sum is σ = 22888483999864. Its totient is φ = 4105046321280.

The previous prime is 10405152141091. The next prime is 10405152141107. The reversal of 10405152141100 is 114125150401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10405152141107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712674354 + ... + 712688953.

Almost surely, 2^{10405152141100} is an apocalyptic number.

10405152141100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405152141100 is an abundant number, since it is smaller than the sum of its proper divisors (12483331858764).

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

10405152141100 is a wasteful number, since it uses less digits than its factorization.

10405152141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425363394 (or 1425363387 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 25.

Adding to 10405152141100 its reverse (114125150401), we get a palindrome (10519277291501).

The spelling of 10405152141100 in words is "ten trillion, four hundred five billion, one hundred fifty-two million, one hundred forty-one thousand, one hundred".