105213210033400 has 96 divisors (see below), whose sum is σ = 279938791342080. Its totient is φ = 36025066800000.

The previous prime is 105213210033391. The next prime is 105213210033409. The reversal of 105213210033400 is 4330012312501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105213210033391) and next prime (105213210033409).

It is a super-2 number, since 2×105213210033400² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105213210033409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48983416 + ... + 51086215.

It is an arithmetic number, because the mean of its divisors is an integer number (2916029076480).

Almost surely, 2^{105213210033400} is an apocalyptic number.

105213210033400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105213210033400 is an abundant number, since it is smaller than the sum of its proper divisors (174725581308680).

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

105213210033400 is a wasteful number, since it uses less digits than its factorization.

105213210033400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100070405 (or 100070396 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 105213210033400 its reverse (4330012312501), we get a palindrome (109543222345901).

The spelling of 105213210033400 in words is "one hundred five trillion, two hundred thirteen billion, two hundred ten million, thirty-three thousand, four hundred".